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1.

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

Answer»

10 POINTS



A : B = 100 : 80.
A : C = 100 : 72.
B/C = (B/A x A/C) = (80/100 x 100/72) = 10/9 = 100/90 = 100 : 90.
 B can GIVE C 10 points.
Discussion
2.

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

Answer»

33 seconds



B RUNS 35 m in 7 sec.
 B COVERS 200 m in (7/35 x 200)= 40 sec. 
B's time over the course = 40 sec.
 A's time over the course (40 - 7) sec = 33 sec.
Discussion
3.

A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

Answer»

200 m



Ratio of the speeds of A and B = 5/3 : 1 = 5 : 3.
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of (5/2 X
Discussion
4.

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:

Answer»

28 m



A : B = 100 : 75
B : C = 100 : 96.
 A : C = (A/B X B/C) = (100/75 x 100/96) = 100/72 = 100 : 72.
 A beats C by (100 - 72) m = 28 m.
Discussion
5.

In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

Answer»

190 sec



NA
Discussion