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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 ?
A. 777.52 m
B. 111.12 m
C. 888.88 m
D. 777.52 mExplanation:
A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 – 888.88 = 111.12 m.In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race ?
A. 210 sec
B. 150 sec
C. 190 sec
D. 200 secExplanation:
Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 – 10 = 190 sec.A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat ?
A. 100 m
B. 130 m
C. 150 m
D. 125 mExplanation:
A can give B (5 min – 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?
A. 150.7 m
B. 98.6 m
C. 127.5 m
D. 57.5 mExplanation:
When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8 = 787.5 m.
In a race of 1000 m, A beats C by (1000 – 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C = (600 * 212.5)/1000 = 127.5 m.In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100 ?
A. 25
B. 34
C. 56
D. 20Explanation:
A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 – 75) = 25 points to C.In a 300 m race A beats B by 22.5 m or 6 seconds. B’s time over the course is _______ ?
A. 77 sec
B. 45 sec
C. 80 sec
D. 86 secIf X can run 48m and Y 42m, then in a race of 1km, X beats Y by ______ ?
A. 100m
B. 110m
C. 125m
D. 140mIf in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q ?
A. 23
B. 35
C. 60
D. 48In 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 ______ ?
A. 28 m
B. 29 m
C. 21 m
D. 26 mA 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 ?
A. 270 m
B. 160 m
C. 200 m
D. 300 m