Multiple choice

P can do (2/5)th part of a work in 12 days, while Q can do (3/4)th of the same work in 15 days. In how many days both will complete the work if they worked together? P किसी काम का (2/5) भाग 12 दिन में समाप्त कर सकता है, जबकि Q इसी काम का (3/4) भाग 15 दिन में कर सकता है | दोनों मिलकर इस काम को कितने दिन में समाप्त कर सकेंगें?

  1. 10 days 10 दिन

  2. 12 days 12 दिन

  3. 15 days 15 दिन

  4. 18 days 18 दिन

  5. 24 days 24 दिन
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B Correct answer
Explanation

P does 2/5 work in 12 days, so P's full work time = 12 × 5/2 = 30 days. Q does 3/4 work in 15 days, so Q's full work time = 15 × 4/3 = 20 days. Together in 1 day: 1/30 + 1/20 = 5/60 = 1/12, so they complete the work in 12 days.

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