# Time taken by 3 Girl and 2 Boys to complete a work is 4 daysthe work done 5 girl is 7 days more than work done by 4 bo

Time taken by 3 Girl and 2 Boys to complete a work is 4 days
the work done 5 girl is 7 days more than work done by 4 boys. The number of days in
which work is completed by a boy and girl working together is? ​

### 1 thought on “<br />Time taken by 3 Girl and 2 Boys to complete a work is 4 days<br />the work done 5 girl is 7 days more than work done by 4 bo”

1. Given : Time taken by 3 Girl and 2 Boys to complete a work is 4 days . The work done by 5 girl is 7 days more than work done by 4 boys.

To Find : The number of days in which work is completed by a boy and girl working together is ?

Let us assume that,

• Efficiency of a girl = G unit/day .
• Efficiency of a boy = B unit/day .

so,

→ Total work = 4 * (3G + 2B) units .

now,

→ 5G completes the total work in = {(12G + 8B)/5G} days .

and,

→ 4B completes the total work in = {(12G + 8B)/4B} days .

A/q,

→ {(12G + 8B)/5G} – {(12G + 8B)/4B} = 7

→ (48GB + 32B² – 60G² + 40GB)/20GB = 7

→ 32B² – 60G² + 88GB = 140GB

→ 4(8B² – 15G²) = 140GB – 88GB

→ 8B² – 15G² = 13 .

given data is incorrect to solve the problem .