Aptitude - Races and Games
6.
In a 300 m race, A beats B by 15 m or 5 seconds. A's time over the course is :
Answer
15 m are covered by B in 5 seconds.
300 m are covered by B in =
515 x 300 
sec = 100 sec
Time taken by A = (100 − 5)sec = 95 sec
Answer :
Option BExplanation :
15 m are covered by B in 5 seconds.
300 m are covered by B in =
515 x 300 sec = 100 secTime taken by A = (100 − 5)sec = 95 sec
7.
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is :
Answer
A's speed = 5 x 518 m/s = 2518 m/s
Time taken by A to cover 100 m = 100 x 1825 sec = 72 sec.
∴ Time taken by B to cover 92 m = (72 + 8) = 80 sec.
∴ B's speed = 9280 m/s = 9280 x 185 kmph = 4.14 kmph
Answer :
Option BExplanation :
A's speed =
5 x 518 m/s = 2518 m/sTime taken by A to cover 100 m =
100 x 1825 sec = 72 sec.∴ Time taken by B to cover 92 m = (72 + 8) = 80 sec.
∴ B's speed = 9280 m/s =
9280 x 185 kmph = 4.14 kmph 8.
A runs 134 times as fast as B. If A gives B a start of 60 m, how far must the winning post be so that A and B might reach it at the same time ?
Answer
Ratio of the speed of A and B = 7 : 4
3 m are gained by A in a race of 7 m.
60 m are gained by A in a race of 73 x 60 m = 140 m
Answer :
Option AExplanation :
Ratio of the speed of A and B = 7 : 4
3 m are gained by A in a race of 7 m.
60 m are gained by A in a race of
73 x 60 m = 140 m 9.
A can run 20 m while B runs 25 m. In a km race, B beats A by :
Answer
In a 25 m race, B beats A by 5 m.
In a km race, B beats A by 525 x 1000 m = 200 m
Answer :
Option BExplanation :
In a 25 m race, B beats A by 5 m.
In a km race, B beats A by
525 x 1000 m = 200 m 10.
A can run 1 km in 4 min 54 sec and B in 5 min. How many metres start can A give B in a km race so that the race may end in a dead heat ?
Answer
Distance covered by B in 6 sec = 1000300 x 6 m = 20 m
∴ A beats B by 20 m.
For a dead-heat race, A must give B a start of 20 m.
Answer :
Option CExplanation :
Distance covered by B in 6 sec =
1000300 x 6 m = 20 m ∴ A beats B by 20 m.
For a dead-heat race, A must give B a start of 20 m.
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