Multiple choice

4 men and 7 women can do a piece of a work in 8 days. In how many days will 5 men and 2 women finish the work if each woman takes twice the time taken by one man? 4 आदमी और 7 औरतें किसी कार्य को 8 दिनों में कर सकते है, तो 5 आदमी और 2 औरतें इसी काम को कितने दिनों में समाप्त कर लेंगे यदि एक औरत एक आदमी की तुलना में दुगुना समय लेती है?

  1. 2 days/दिन

  2. 3 days/दिन

  3. 4 days/दिन

  4. 10 days/दिन
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D Correct answer
Explanation

Let one man's work per day be m units. Since a woman takes twice the time, she does m/2 units per day. Total work = (4m + 7(m/2)) * 8 = (4m + 3.5m) * 8 = 60m units. With 5 men and 2 women, daily work = 5m + 2(m/2) = 6m. Days needed = 60m/6m = 10 days.

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