16 men can finish a work in 8 days. 8 men and 9 women working together can finish the same work in 10 days. In how many days will 20 women finish the same work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 12.
| Understanding/Application |
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Total work = man/woman × time Work is same so, 16m(8) = (8m + 9w) 10 128m = 80m + 90w 48m = 90w 8m = 15w |
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Let the work be completed by 20 women be x days. Total work = 20w(x) (8m + 9w)10 = 20w(x) (15w + 9w)10 = 20w(x) 240w = 20w(x) x = 12 days |