Question 1

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Accepted Answer

A : B = 100 : 75 B : C = 100 : 96. A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72 A beats C by (100 - 72) m = 28 m.

Question 2

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C

Accepted Answer

20 m

Question 3

A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

Accepted Answer

A runs 1000 meters while B runs 900 meters and C runs 800 meters. Therefore, B runs 900 meters while C runs 800 meters. So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters Thus, B can give C (1000 - 888.88) = 111.12 meters start

Question 4

In a 300 m race, A beats B by 22.5 m or 6 seconds. B's time over the course is:

Accepted Answer

B runs 45/2mts in 6 sec B covers 300m in (6*2/45*300)sec =80 sec

Question 5

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

Accepted Answer

A : B = 100 : 80. A : C = 100 : 72. B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90 B can give C 10 points

Question 6

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

Accepted Answer

A : B = 100 : 90. A : C = 100 : 72. B:C = B/A*A/C = 90/100*100/72 = 90/72 When B runs 90 m, C runs 72 m. When B runs 100 m, C runs (72/90*100)m = 80m B can give C 20 m.

Question 7

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

Accepted Answer

B runs 35 m in 7 sec. B covers 200 m in (7/35*200) = 40sec B's time over the course = 40 sec. A's time over the course (40 - 7) sec = 33 sec.

Question 8

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by

Accepted Answer

6 m

Question 9

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by

Accepted Answer

100 m

Question 10

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

Accepted Answer

10 points

Question 11

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by

Accepted Answer

20 m

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