Question

10 men or 15 women can do a work in 14 days. In how many days the same work can be completed by 20 men and 5 women ?
1) 4 days 2) 6 days 3) 8 days
4) 10 days​

Answer 1

Answer:

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Answer 2

In 6 days the same work can be completed by 20 men and 5 women.

Step-by-step explanation:

10 men or 15 women can do a work in 14 days.

10 men can do $\frac{1}{14} th$ of a work in 1 day.

1 men can do $\frac{1}{10\times14}th$ of a work in 1 day.

20 men can do $\frac{20}{10\times 14}th$ of a work in 1 day.

15 women can do $\frac{1}{14}th$ of a work in 1 day.

1 women can do $\frac{1}{15\times 14}th$ of a work in 1 day.

5 women can do $\frac{5}{15\times 14}th$ of a work in 1 day.

20 men and 5 women can do $[\frac{20}{10\times 14} + \frac{5}{15\times 14}]th = [\frac{1}{7} + \frac{1}{42}]th = \frac{1}{6}th$ of a work in 1 day.

20 men and 5 women can do the same work in 6 days.

Hence, in 6 days the same work can be completed by 20 men and 5 women.