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Question 54
If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed what is the time taken by C to finish the race?
A. A and C run the same race and A wins by 375 metres.
B. The length of the race is 1 km.
Solution
Let the distance be x. Time taken by A is T, so time taken by B is T+60 and time taken by C is T+90.
From statement A, we know that the ratio of speeds of A and C is x:(x-375) = x/T : x/(T+90)
We have only 1 equation and 2 unknows. We need the second statement to find the values. So, the question can be answered by using both the statements together.
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