Multiple choice

If 1 man or 2 women or 3 boys can complete a piece of work in 88 days, then in how many days 1 man, 1 women and 1 boy together will complete it? यदि 1 आदमी या 2 औरतें या 3 लड़के एक काम को 88 दिनों में कर सकते हैं तो 1 आदमी, 1 औरत और 1 लड़का इसे कितने दिनों में करेंगे?

  1. 36 days/दिन

  2. 42 days/दिन

  3. 48 days/दिन

  4. 54 days/दिन
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C Correct answer
Explanation

1 man's work rate = 1/88 per day. Since 1 man = 2 women = 3 boys, we have: 1 woman's rate = 1/(88×2) = 1/176 per day, and 1 boy's rate = 1/(88×3) = 1/264 per day. Combined rate of 1 man + 1 woman + 1 boy = 1/88 + 1/176 + 1/264 = (3+1.5+1)/264 = 5.5/264 = 1/48 per day. So they complete the work in 48 days.

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