Multiple choice

Two persons P and Q can complete a piece of work individually in 10 days and 15 days respectively. If P works for 2 days and Q works for 5 days, find the part of work done.

  1. 8/15

  2. 1/5

  3. 1/3

  4. 5/8

  5. 5/6
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A Correct answer
Explanation

P's work rate = 1/10 per day. Q's work rate = 1/15 per day. Work done = (2 * 1/10) + (5 * 1/15) = 2/10 + 5/15 = 1/5 + 1/3 = 3/15 + 5/15 = 8/15.

AI explanation

Using the fraction of work completed formula, P's 1 day work is 1/10 and Q's 1 day work is 1/15. The work done by P in 2 days is 2 multiplied by 1/10, which is 1/5 or 3/15. The work done by Q in 5 days is 5 multiplied by 1/15, which is 1/3 or 5/15. Adding these two fractions, 3/15 plus 5/15 equals 8/15, meaning 8/15 of the work is done.

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