Question 56

Ten men or twelve women can finish the same workin 10 days. If 5 men and 2 women undertake the work together, how many days will they take to complete the work?

Solution

Total work = time $$\times$$ (men + women)

Ten men or twelve women can finish the same workin 10 days so,

$$10m \times 10 = 12w \times 10$$

5m = 6w

Let time taken to complete same work by 5 men and 2 women be d days.

Total work done by 5 men and 2 women = (5m + 2w) $$\times$$ d

12w $$\times 10$$ = (6w + 2w) $$\times$$ d

d = 120/8 = 15 days

$$\therefore$$ They will completed the same work in 15 days.

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