**Races**- A contest of speed in running, riding, driving sailing or rowing is called a race. The ground of path on which contexts are made is called a race course. The point from which a race begins is known as a starting point. The point set to bound a race is called a winning post or a goal. The person who first reaches the winning post is called a winner. If all the persons contesting a race reach the goal exactly at the same time, then the race is said to be a dead heat race.

Suppose A and B are two contesting in a race. If both the start of the race, A is at the starting point and B is ahead of A by 15 metres. To cover a race of 200 metres in this case A will have to cover a distance of 200 metres and B will have to cover (200-15) or 185 metres only.

In a 100 metres race A can give B 15 metres or A can give B, a start of 15 metres means or A beats B by 15 metres means that while A runs 100 metres, B runs (100-15) or 85 metres.

**Games**- A games of 100 means that the person among the contestants who scores 100 points first is the winner. If A scores 100 points, while B scores only 80 points, then we say that A can give B 20 points.

## Races and Games Aptitude Questions and Solutions

**Question** **1**. A and B run a km and A wins by 1 minute. A and C run a km and ‘A’ wins by 375 metres. B and C run a km and B wins by 30 seconds. Find the time taken by each to run a km.

**Solution**: Since A beats B by 60 seconds and B beats C by 30 seconds. So, A beats C by 90 seconds. But, it being given that A beats C by 375 metres. So it means that Covers 375 metres in 90 seconds.

Time taken by C to cover 1 km

= seconds

= 240 seconds

Time taken by A to cover 1 km

= (240-90) seconds

= 150 seconds

Time taken by B to cover 1 km

= (240-30) seconds

= 210 seconds.

**Question** **2.** In a kilometer race, If A gives B, a start of 40 metres, then A wins by 19 seconds, but if A gives B, a start of 30 seconds then B wins by 40 metres. Find the time taken by each to run a kilometre.

**Solution**: Suppose that the time taken by A and B to run 1 km is x and y seconds respectively.

When A gives B a start of 40 metres then A has run 1000 metres, while B has to run only 960 metres.

Time taken by A to run 1000 m = x sec.

Time taken by B to run 960 metres = sec.

= sec.

Clearly, y-x = 19

24y – 25x = 475 ……(i)

Again, A gives B, a start of 30 seconds, then B runs for y seconds, while A runs for (y-30) seconds.

Now, In x seconds, A covers 1000 metres.

In (y-30) seconds A will cover = metres.

So, = 40

25y-24x = 750…..(ii)

Solving (i) and (ii) we get,

X = 125 and y = 150

Time taken by A to run 1 km = 125 seconds

Time taken by B to run 1 km = 150 seconds

**Question 3.** A can run a kilometre in 4 minutes 50 seconds and B in 5 minutes. How many metres start can A give B in a kim race, So that the race may and in a dead heat.

**Solution**: Time taken by A to run 1 km = 4 mts. 50 sec. = 290 sec.

Time taken by B to run 1 km = 5 mts. = 300 sec.

A can give B, a start of (300-290) or 10 second

Now, in 300 seconds, B runs 1000 meters.

In 10 seconds, B runs

So, A can give B a start of metres.

**Question** **4.** In a 100 metres race, A runs with 6 kms. Per hour. If A gives B a start of 4 metres and still beats him by 12 seconds. What is the speed B ?

**Solution**: Time taken by A to cover 100 metres

=

= 60 seconds

B covers (100-4) or 96 m in (60+12) sec. or 72 sec,

Hence, speed of B

=

= 4.8 km/hr.

**Question** **5.** A can run a km in 3 min. 10 sec. and B in 3 min. 20 sec. By what distance can A beat B ?

**Solution**: A beats B by 10 seconds.

Distance covered by B in 200 seconds = 1000 metres.

Distance covered by B in 10 seconds =

= 50 metres

A beats B by 50 metres.

## Races and Games Aptitude Questions from Previous Year Exams

- Races and Games Aptitude

## Races and Games Video Lecture

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