Multiple choice

It was estimated that 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?

  1. 3 days

  2. 13 days

  3. 10 days

  4. 5 days
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A Correct answer
Explanation

Total work = 52 men * 10 days = 520 man-days. With 12 men leaving, 40 men remain. Days required = 520 / 40 = 13 days. The increase over the original 10 days is 13 - 10 = 3 days.

AI explanation

Using the formula Men1 times Days1 equals Men2 times Days2, we calculate 52 times 10 equals 40 times Days2, revealing it will take the remaining 40 men 13 days to finish. Subtracting the original 10 days from the new 13 days gives an extension of 3 days.

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