Boat And Stream: The water of stream is usually keep, flowing at a certain speed in a particular direction . This Speed is called current of the stream. A boat develops speed because of its engine power .The speed with which it travels when there is no current is called speed of boat in still water . A boat can travels in the direction of current as well as against the current. (as long as speed of boat in still water is greater than the current).
Downstream: when the boat moves in the direction of current is called stream or current or down stream.If a boat or a swimmer swims in the same direction as the stream, then it is called downstream. Obviously the boat or swimmer require less efforts to travel using downstream. Because the stream itself helps the objects to move.
Boats and Streams questions from previous year exams
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Question 1 of 29
1. Question
1 pointsA man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in still water and rate of the stream.
Correct
If a is rate downstream and b is rate upstream
Rate in still water =
Rate of current =
=> Rate in still water = = 15 km/h
=> Rate of current = = 5 km/h
Incorrect
If a is rate downstream and b is rate upstream
Rate in still water =
Rate of current =
=> Rate in still water = = 15 km/h
=> Rate of current = = 5 km/h

Question 2 of 29
2. Question
1 pointsA man can row 9 and km/h in still water and finds that it takes him thrice as much time to row up than as to row, down the same distance in the river. The speed of the current is.
Correct
Let speed upstream is x km/h.
Then, speed downstream = 3x km/h.
Speed in still water = km/h = 2x km/h.
2x =
Speed of upstream = km/hr, Speed of downstream 14 km/hr.
speed of the current = and km/h
Incorrect
Let speed upstream is x km/h.
Then, speed downstream = 3x km/h.
Speed in still water = km/h = 2x km/h.
2x =
Speed of upstream = km/hr, Speed of downstream 14 km/hr.
speed of the current = and km/h

Question 3 of 29
3. Question
1 pointsA boat takes 4 hours for travelling downstream from point A to point B aild coming back to point A upstream. If the velocity of the stream is 2 kmph and the speed of the boat in still water is 4 kmph, what is the distance between A and B?
Correct
Let the distance between A and B be x km.
Speed downstream = 6 km/h, speed upstream = 2 km/h.
= 4
= 4
x = 6
Distance AB = 6 km.
Incorrect
Let the distance between A and B be x km.
Speed downstream = 6 km/h, speed upstream = 2 km/h.
= 4
= 4
x = 6
Distance AB = 6 km.

Question 4 of 29
4. Question
1 pointsA boat covers 24 km upstream and 36 km downstream in 6 hours while it covers 36 km upstream and 24 km downstream in 6 hours. The velocity of the current is :
Correct
Let rate upstream = x km/h and rate downstream = y km/h.
Then, ......... (i)
and ......... (ii)
Adding (i) and (ii), we get :
or ........ (iii)
Subtracting (i) from (ii), we get :
or ....... (iv)
Adding (iii) and (iv), we get :
= or x = 8
so (
=>
y = 12
Speed upstream = 8 km/h, Speed downstream = 12 km/h.
Hence, rate of current = km/h = 2 km/h
Incorrect
Let rate upstream = x km/h and rate downstream = y km/h.
Then, ......... (i)
and ......... (ii)
Adding (i) and (ii), we get :
or ........ (iii)
Subtracting (i) from (ii), we get :
or ....... (iv)
Adding (iii) and (iv), we get :
= or x = 8
so (
=>
y = 12
Speed upstream = 8 km/h, Speed downstream = 12 km/h.
Hence, rate of current = km/h = 2 km/h

Question 5 of 29
5. Question
1 pointsA man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
Correct
First of all, we know that
speed of current = 1/2(speed downstream  speed upstream)So we need to calculate speed downstream and speed upstream first.
Speed = Distance / Time [important]
Speed Upstream =
= 4 km/hr
Speed Downstream=
= 2 km/hr
So speed of current = ( 42 ) = 1 km/hr
Incorrect
First of all, we know that
speed of current = 1/2(speed downstream  speed upstream)So we need to calculate speed downstream and speed upstream first.
Speed = Distance / Time [important]
Speed Upstream =
= 4 km/hr
Speed Downstream=
= 2 km/hr
So speed of current = ( 42 ) = 1 km/hr

Question 6 of 29
6. Question
1 pointsA man rows 13 km upstream in 5 hours and also 28 km downstream in 5 hours. The velpciy of the stream is :
Correct
speed upstream = km/h
speed downstream km/h
Velocity of stream = = 1.5 km/h
Incorrect
speed upstream = km/h
speed downstream km/h
Velocity of stream = = 1.5 km/h

Question 7 of 29
7. Question
1 pointsA man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing speed in still water is:
Correct
Incorrect
Rate upstream = m/sec
Rate downstream m/sec.
Rate in still water = ( m/sec
= km/h = 5 km/h

Question 8 of 29
8. Question
1 pointsIf a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is :
Correct
Rate upstream = km/h = 10 km/h. Speed of stream = 3 km/h.
Let speed in still water is x km/hr
Then, speed upstream = (x —3) km/hr.
x  3 = 10 or x = 13 km/h.
Incorrect
Rate upstream = km/h = 10 km/h. Speed of stream = 3 km/h.
Let speed in still water is x km/hr
Then, speed upstream = (x —3) km/hr.
x  3 = 10 or x = 13 km/h.

Question 9 of 29
9. Question
1 pointsA man can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, the time taken to row a distance of 80 km down thestream is :
Correct
Speed downstream (10 + 6) km/hr 16 km/hr.
Time taken to cover 80 km downstream = hrs = 5 Hrs.
Incorrect
Speed downstream (10 + 6) km/hr 16 km/hr.
Time taken to cover 80 km downstream = hrs = 5 Hrs.

Question 10 of 29
10. Question
1 pointsA man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is
Correct
Let speed downstream = x km/h
Then Speed upstream = 2x km/h
So ratio will be,
Incorrect
Let speed downstream = x km/h
Then Speed upstream = 2x km/h
So ratio will be,

Question 11 of 29
11. Question
1 pointsA man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be
Correct
If you solved this question yourself, then trust me you have a all very clear with the basics of this chapter.
If not then lets solve this together.
Speed with current is 20,
speed of the man + It is speed of the current
Speed in still water = 20  3 = 17
Now speed against the current will be
speed of the man  speed of the current
= 17  3 = 14 km/h
Incorrect
If you solved this question yourself, then trust me you have a all very clear with the basics of this chapter.
If not then lets solve this together.
Speed with current is 20,
speed of the man + It is speed of the current
Speed in still water = 20  3 = 17
Now speed against the current will be
speed of the man  speed of the current
= 17  3 = 14 km/h

Question 12 of 29
12. Question
1 pointsA boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 84 km downstream.
Correct
It is very important to check, if the boat speed given is in still water or with water or against water. Because if we neglect it we will not reach on right answer. I just mentioned here because mostly mistakes in this chapter are of this kind only.
Lets see the question now.
Speed downstream = (16 + 5) = 21 km/hTime = = 4 hours
Incorrect
It is very important to check, if the boat speed given is in still water or with water or against water. Because if we neglect it we will not reach on right answer. I just mentioned here because mostly mistakes in this chapter are of this kind only.
Lets see the question now.
Speed downstream = (16 + 5) = 21 km/hTime = = 4 hours

Question 13 of 29
13. Question
1 pointsA man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.
Correct
Let the distance is x km
Rate downstream = 5 + 1 = 6 km/h
Rate upstream = 5  1 = 4 km/h
[ = time]
=> 2x + 3x = 12
=> x = = 2.4 km
Incorrect
Let the distance is x km
Rate downstream = 5 + 1 = 6 km/h
Rate upstream = 5  1 = 4 km/h
[ = time]
=> 2x + 3x = 12
=> x = = 2.4 km

Question 14 of 29
14. Question
1 pointsIf a man can swim downstream at 6 kmph and upstream at 2 kmph, his speed in still water is :
Correct
Incorrect
Speed in still water = (1/2) * (6 + 2) km/hr = 4 km/hr

Question 15 of 29
15. Question
1 pointsA man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is :
Correct
Incorrect
Speed of stream = (138) kmph = 2.5 kmph

Question 16 of 29
16. Question
1 pointsThe speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
Correct
Incorrect
Let the speed of the current be ‘x’ kmph
Speed down stream = 12 + x = 45 + 3
x = 3 kmph
effective speed up stream = 12 – 3 = 9
9 = x = 5 hrs

Question 17 of 29
17. Question
1 pointsA boat goes 13 km upstream in 39 minutes. The speed of stream is 3 km/hr. The speed of boat in still water is:
Correct
Incorrect
Speed of the boat upstream = 13 x 60/39 = 20 km/hr
Speed of the stream = 3 km/hr
Let the speed of the boat in still water = x km/hr
We have, x  3 = 20
x = 20 + 3 = 23 km/hr

Question 18 of 29
18. Question
1 pointsIn one hour, a boat goes 11km along the stream and 5 km against it. Find the speed of the boat in still water
Correct
Incorrect
We know we can calculate it by 1/2(a+b)
=> 1/2(11+5) = 1/2(16) = 8 km/hr

Question 19 of 29
19. Question
1 pointsA boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Correct
Incorrect
Rate downstream =
Rate upstream =
Speed in still water =

Question 20 of 29
20. Question
1 pointsA motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is
Correct
Incorrect
Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15  x) km/hr.
9x^{2} = 225
x^{2} = 25
x = 5 km/hr.

Question 21 of 29
21. Question
1 pointsA man can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, the time taken to row a distance of 80 km down thestream is :
Correct
Incorrect
Speed downstream (10+6) km/hr 16 km/hr.
Time taken to cover 80 km downstream = (80/16) hrs = 5 hrs. 
Question 22 of 29
22. Question
1 pointsThe Speed of a boat in still water is 10 kmph. If it can travel downstream 20 kms in the same time as it can travel 12 kms upstream. What is the speed of the current?
Correct
Incorrect
Let the speed of the stream be x km/hr, Then,
Speed downstream = (10 + x) km/hr, Speed upstream = (10 – x) km/hr.

Question 23 of 29
23. Question
1 pointsThe speed of a boat in still water is 8 km/hr. If it speed downstream be 15 km/hr, then speed of the stream is:
Correct
Incorrect
Speed of the boat downstream = 15 km/hr.
Speed of the boat in still water = 8 km/hr
Let the speed of the stream = y km/hr.
We have, 15 = 8 + y
y = 15 – 8 = 7 km/hr.

Question 24 of 29
24. Question
1 pointsThe Speed of a boat in still water is 20 kmph. If it can travel 16 km upstream in 1 hr., What time it would take to travel the same distance downstream?
Correct
Incorrect
Speed = distance timeSpeed of the current is ‘x’ kmphUpstream 20  x = 16 + 1 x = 4 kmphdownstream (20 + 4) =16x = 40 min 
Question 25 of 29
25. Question
1 pointsA man can row threequarters of a kilometer against the stream in 11 minutes and return in .The speed (in km/hr) of the man in still water is:
Correct
Incorrect
Speed of upstream =
Speed of downstream =
Speed in still water=

Question 26 of 29
26. Question
1 pointsSpeed of a man is 10 km/hr in still water. If the rate of current is 3 km/hr, then the effective speed of the man upstream is
Correct
Incorrect
Speed of man in still water = 10 km/hr
Speed of current = 3 km/hr
Speed of man upstream = 10 – 3 = 7km/hr

Question 27 of 29
27. Question
1 pointsA boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Correct
Incorrect
Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
Required ratio =

Question 28 of 29
28. Question
1 pointsThe effective speed of travel of a boat downstream is 20 kmph whereas it is 10 kmph upstream. What is the speed of the current?
Correct
Incorrect
Let the speed of the boat and that of the current be ‘x’ and ‘y’ kmph
x + y = 20
x  y = 10
x = 15 kmph and y = 5 kmph
speed of the current = 5 kmph

Question 29 of 29
29. Question
1 pointsA man can row with the stream at 7 km/hr and against the stream at 3 km/hr. His speed in still water is:
Correct
Incorrect
Speed of the man upstream = 7 km/hr.
Speed of the man downstream = 3 km/hr.
Speed of the man in still water = (Downstream Speed + Upstream Speed)
= (7 + 3) = 5 km/hr.
Note: as the object moves along with the water, the stream helps the object. So, the down stream speed (DS) is
DS = U+V where U is the speed of the object in the still water V is the speed of the water.
Upstream: when the boat moves in the direction opposite to the that of the current is called against the stream or against the current or upstream .
Note: as the object moves against the water pushes the object in opposite direction. So, the upstream speed (US) is
US = UV , where U is the speed of the object in the still water V is the speed of the water.
Boats and Streams Important Formulas
1) Let us assume that the speed of the boat in still water is U km/hr and the speed of stream is V km/hr then, as mentioned above :
(a) Speed downstream = (u+v)km/hr
(b) Speed upstream = (uv)km/hr
2) If the speed downstream is a km/hr and the speed upstream is b km/hr then :
(a) Speed in still water = km/hr
(b) Rate of stream = km/hr
Boats and Streams Solved Examples
Question 1: A boat covers a certain distance downstream in 1 hour, while it comes back in 3/2 hours. If the speed of the stream is 3kmph, what is the speed of the boaat in still water ?
Solution: Let the speed of the boat in still water be x kmph.
then speed downstream = (X+3) kmph
Speed upstraem = (x3)kmph
2x+6 = 3x9
2x+6 = 3x9 x = 15kmph
Question 2: A speed of a boat in still water is 10 km/hr. If it can travel 26km downstream and 14km upstream in the same time , the speed of the stream is ?
Solution: Let the speed of the stream be x km/hr. then,
Speed downstream=(10+x)km/hr,
speed upstream= (10x)km/hr
26026x= 140+14x 40x=120
x = 3km/hr
Question 3: The speed of the boat in still water is 10km/hr and the rate of the current is 3 km/hr. The distance traveled downstream in 12 minutes is?
Solution: Speed downstream =(10+3) kmph= 13 km/h
Distance traveled = = 2.4 km/h
Question 4: A man takes twice long to row a distance against the stream as to row the same distance in favor of the stream .the ratio of the speed of the boat in still water is ?
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