Question

If 4 men, and 6 women can complete the work in 24
days, 10 men, and 15 women, to do the same work in 15
days , Find the time taken by 1 woman alone to finish the
work, and also that taken by 1 man alone.

Answer 1

Answer:

If 4 men do a job in 24 days, the work requires the input of 96 man-days and each man does (1/96)th part of the work in day.

If 6 women do a job in 24 days, the work requires the input of 144 woman-days and each woman does (1/144)th part of the work in day.

The total work requires 96 man-days and 144 woman-days.

So 10 men and 15 women do the same work in 96 man-days/10 men and 144 woman-days/ 15 women or 9.6 days + 9.6 days.

Thus 10 men and 15 women will complete the work in 9.6 days.

Step-by-step explanation:

this is right

Answer 2

In this sum , it is said that  

4 men, and 6 women can complete the work in 24.

6 women ≡ 4 men

∴ 4 men & 6 women ≡ 8 men .

We can say that 8 men can complete the work in 24 days.

∴   1 man alone can complete the work = (24 ×8) days= 192 days.

and we can say that 6 women = 4 men.

∴ 8 men = 12 women.

12 women can complete the work in 24 days.

∴ 1 woman alone can complete the work =( 24 × 12)days= 288days.

Hence :-

• 1 man alone can complete the work in 192 days.

• 1 woman alone can complete the work in 288days.

Ans:-  1 man alone can complete the work in 192 days and 1 woman alone can complete the same work in 288days.

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