ISEE Mathematics Achievement Question 41: Answer and Explanation

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Question: 41

13. If it takes three men 56 minutes to fill a trench 4' × 6' × 5', and two of the men work twice as rapidly as the third, how many minutes will it take the two faster men alone to fill this trench

  • A. 70 minutes
  • B. 60 minutes
  • C. 50 minutes
  • D. 40 minutes

Correct Answer: A

Explanation:

The correct answer is (A). Each fast worker is equivalent to two slow workers; therefore, the three men are the equivalent of five slow workers. The whole job, then, requires 5 × 56 = 280 minutes for one slow worker. It also requires half that time, or 140 minutes, for one fast worker, and half as much again, or 70 minutes, for two fast workers.

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