Question:

‘A’ can do a piece of work in 20 days and ‘B’ can do it in 15 days. How long will they take to finish together?

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Add work rates to find combined work capacity.
Updated On: Aug 11, 2025
  • \(13 \frac{1}{4}\) days
  • 10 days
  • \(8 \frac{4}{7}\) days
  • \(17 \frac{1}{2}\) days
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The Correct Option is C

Solution and Explanation

Work per day of A = \( \frac{1}{20} \) Work per day of B = \( \frac{1}{15} \) Combined work/day = \( \frac{1}{20} + \frac{1}{15} = \frac{3 + 4}{60} = \frac{7}{60} \) Time = \( \frac{1}{\frac{7}{60}} = \frac{60}{7} \) days = \( 8 \frac{4}{7} \) days.
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