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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__________?

Correct answer: B. 80 sec

  • A. 86 sec
  • B. 80 sec
  • C. 76 sec
  • D. None of these

Explanation

When A completes 300 m, B has completed 277.5 m, so their speed ratio is A:B = 300:277.5 = 40:37. If B's time is t seconds, A's time is t - 6 seconds, giving t/(t - 6) = 40/37; solving gives 37t = 40t - 240 and t = 80 seconds. The likely wrong answer is 86 seconds, caused by adding the 6 seconds to the wrong race time.

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About Time, Speed and Distance

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