Discussion :: Races and Games
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Two men A and B run a 4 km race on a course of
km round. If their speeds are in the ratio of 5: 4, how often does the winner pass the other?
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Answer : Option C
Explanation :
The speeds of A and B are in the ratios of 5: 4 which means if A runs 5 km, B runs 4 km or if A makes 5 rounds, B makes 4 rounds.
So, A passes B each time it completes 5 rounds or covers a distance = 5 * 1/4 (length of one round) = 5/4 km
Race = 4 km
Now let's find out how many times 5/4 contained in a 4 km race:
4 km / (5/4) = 16/5 = 3.2 times.
Now, 5/4 is contained in a 4 km race 3.2 times.
So, A, the winner, will pass B thrice in this race.
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