2 men can complete a piece of work in 14 days. 2 women can complete the same piece of work in 24 days. In how many days will 7 men and 10 women together complete the same piece of work?
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Given:
2m + 7w = 14 days
3m + 8w = 11 days
Formula used:
Total work = Efficiency × days
Calculations:
⇒ (2m + 7w)14 = (3m + 8w)11
⇒ 28m + 98w = 33m + 88w
⇒ 10w = 5m
⇒ m/w = 2/1
⇒ Total work = (2 × 2 + 7 × 1) × 14
⇒ Total work = 11 × 14
Time taken by 5m and 4 w = (11 × 14)/(5 × 2 + 4 × 1)
⇒ 11 days
∴ Time taken by 5 man and 4 woman is 11 days
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