Question

7. If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women
and 11 girls working together take to complete the work?​

Answer 1

Answer:

1156/15

Step-by-step explanation:

Given :-

• 3 women and 5 girls take 17 days to complete a piece of work.

Prove :-

• 7 women and 11 girls together take to complete the work = ?

Proof :-

• According to the first condition :-

3 women = 5 girls

1 women = 5/3 girls..... (i)

• According to the second condition :-

7 women + 11 girls = 7 × 5/3 + 11

= 35/3 + 11 × 3 / 1 × 3

= 68/3

• If the 5 girls can complete the work in 17 days so, let the work completed by 7 women and 11 girls be x.

68/3 × 17/5 = x

• x = 1156/15 days

• In 1156/15 days the work is completed by the 7 womens and 11 girls.