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?
Answer: B
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.
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For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Answer: B
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/32 = 7m/s
=>Difference in time taken = 4 seconds
Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres
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In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Answer: B
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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?
Answer: A
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.
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A runs 1 3/4 times as fast as B. If A gives B a start of 60 meters. How far must the winning post be in order that A and B reach it at the same time?
Answer: B
Ratio of races of A and B = 7 : 4
i.e., 3 metres are gained by A in a race of 7 metres
60 metres are gained by A in a race of 7/3 x 60 = 140 metres
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In a 500 m race, the ratio of the speeds of A and B is 3:4. A has a start of 140m. A wins by:
Answer: B
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A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
Answer: A
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In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
Answer: B
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At a game of billiards, A can give B 15 points in 60 and A can give C 20 in 60. How many can B give C in a game of 90 ?
Answer: A
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At a game billiards, A can give B 10 points in 60 and he can give C 15 in 60. How many can B can give C in a game of 90?
Answer: A
If A score 60 points, B score 50 points and C score 45 points.
When B scores 50 points, C scores 45 points.
When B scores 90 points, C scores (45/50 *90) points = 81 points.
B can give C, 9 points in a game of 90.
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