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Races - Quant/Math - CAT 2009
Question 4 the day:
May 22, 2003
The question for the day is from the topic of Races.
- A runs 13/5 times as fast as B. If A gives a start of 240m, how far must the post be so that A and B might reach at the same time.
| (1) |
390 m |
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(2) |
330 m |
| (3) |
600 m |
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(4) |
720 m |
Correct Answer - (1)
Solution:
A runs 13/5 times fast as B which means A runs 13 metres for every 5 meters of B.
Therefore, A gains 8 metre in a 11m race or if A gives a start of 8m in a 13m race then the race might end in a dead heat.
Therefore, if A gives a start of 240m (8* 30) then the length of the race should be equal to 13*30 = 390m
Or the length of the race after A gives a start of 240 start so that A and B reach at the same time is given by (240*13) /8 = 390m.
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