Races and Games of skills is an important chapter for banking examinations point of view. Here on BankExamsToday.com I am analyzing various exam question papers from past many years. Today I am listing down 10 questions that repeated in almost all the exams.

Time taken by A to finish the race = 200-=6 = 194 seconds = 3 minutes 14 seconds

Hence speed of B = 4.75 m/s.

A beats B by 20 metres .

i.e. when B covers 88 m C covers 85 m.

when B covers 176 m, C would cover

B would beat C by 6 m in a race of 176 m.

Hint : Speed of Ram with respect to shyam= 5x - 4x = x ms -1

Hint : Let the speed of P and Q be P m/s and q m/s respectively .

## Ques 1 .

In a kilome.tre race, A beats B by 30 metres or 6 seconds . Find the time taken by A to finish the race.

**Ans 1.**It is abvious that B runs 30 metres in 6 seconds .

Time taken by A to finish the race = 200-=6 = 194 seconds = 3 minutes 14 seconds

## Ques 2.

In a 125 m Race , A runs at 10 km/hour. A gives B a start of 5 metres and still beats him by 5 seconds . Find the speed of B.

**Ans 2.**

## Ques 3.

In a kilometre race, if A gives B 30 m start, A wins by 20 seconds but if A gives B 30 seconds start, B wins by 20 m. Find the speed of B.

**Ans 3.**Let the speed of A be x m/s and speed of B y m/s.

Hence speed of B = 4.75 m/s.

## Ques 4.

A can run a kilometre race in 2 minutes and B in 2 minutes. by what distance can A beat B ?

**Ans 4.**A beats B by 40 sec.

A beats B by 20 metres .

## Ques 5.

In a 100 m race , A beats B by 12 m and C by 15 m , In a race of 176 m, Find by how much distance would B beat C.

**Ans 5.**When A covers 100 m, B covers 88 m and C covers 85 m.

i.e. when B covers 88 m C covers 85 m.

when B covers 176 m, C would cover

B would beat C by 6 m in a race of 176 m.

## Ques 6.

In a race of 600 m, A can beat B by 50 m and in a race of 500 m, B can beat C by 40 m . by how many metres will A beat C in a race of 400 m?

**Ans 6.**When A covers 600 m , B covers 550 m.

## Ques 7.

In a 400 m. race , the ratio of speeds of two runners A and B is 3:4. a Has a start of 130 m. A wins by

(a) 50 m

(b) 25 m

(c) 40 m

(d) 75 m

**Ans 7.**40 m.

## Ques 8.

In a 100 m race , P runs at 8 km/hour . If P gives Q a start of 4 m and still beats him by 15 seconds , the speed of Q is

(a) 6 km/hour

(b) 5.5 km/hour

(c) 6.2 km/hour

(d) 5.76 km/hour

**Ans 8.**5.76 km/hour

## Ques 9.

Ram and shyam run at 4 km on a course 250 m round . If their rates be 5 : 4 , how often does the winner pass the other?

(a) Ram passes Shyam thrice

(b) Ram passes Shyam twice

(c) Ram passes Shyam once

(d) Shyam passes Ram twice

**Ans 9.**Ram passes Shyam thrice

Hint : Speed of Ram with respect to shyam= 5x - 4x = x ms -1

## Ques 10.

P can run one kilometre in half a minute less time than Q. In a kilometre race , Q gets a start of 100 m and still losses by 100 m. Find the time P and Q take to run a kilometre .

(a) 3 min , 2 min

(b) 31/2 min , 2 min

(c)2 min , 2 1/2 min

(d) 2 1/2 ,min, 4 min

**Ans 10.**2 min , 2 1/2 min

Hint : Let the speed of P and Q be P m/s and q m/s respectively .

## Free Notes

Follow Quantitative Aptitude Guide

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