Question

8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.​

Answer 1

Answer:

1 boy will take 280 Days

1 Girl will take 140 Days

Step-by-step explanation:

Let say Girl one day work = G

& Boy 1 day work = B

8 girls and 12 boys can finish work in 10 days

=> Total Work  = (8G  + 12B) * 10  = 80G + 120B

6 girls and 8 boys can finish it in 14 days.

=> Total Work  = (6G  + 8B) * 14  = 84G + 112B

Equating total Work

80G + 120B = 84G + 112B

=> 8B = 4G

=> 2B = G

80G + 120B = 80 *2B + 120B =  280B

1 boy will take 280 Days

280B =  140 (2B)  = 140G

1 Girl will take 140 Days