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In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

Correct answer: B. 190 sec

  • A. 200 sec
  • B. 190 sec
  • C. 210 sec
  • D. 150 sec

Explanation

When A runs 1,000 m, B runs 950 m, so their speed ratio is A:B = 1,000:950 = 20:19. If A takes t seconds, B takes t + 10 seconds, so (t + 10)/t = 20/19; solving gives 19t + 190 = 20t and t = 190 seconds. The likely wrong answer is 200 seconds, which incorrectly assigns the 10-second difference to A's time.

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About Time, Speed and Distance

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