6 men and 6 women together can complete a piece of work in 6 days In how many days can 15 men alone ...........

Quant (SSC) Time and work

6 men and 6 women together can complete a piece of work in 6 days. In how many days can 15 men alone complete the same work if 9 women alone can complete it in 10 days?

None of these

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Explanation:

? 9 women can complete the work in 10 days
∴ 6 women can complete the work in 10 x 9 /6 = 15 days
6 women in 6 days complete 6/15 = 2/5 part
∴  The remaining part (1 - 2/5) = 3/5 part will be
completed by 6 men in 6 days
So, 6 men's work in 1 day = 3 / 5 x 6 = 1/10th part
?   6 men can complete the work in 10 days
∴   15 men can complete the work in 6 x 10 /15 = 4 days