Question

A piece of work can be done by 8 men or 12 boys in 20 days. How long will it be taken by 6 men and 6 boys to complete the work? a) 18 days b) 17 days c) 16 days. d) 19 days Plz explain with ur answer in easiest Method

Answer 1

8 man in 20 days complete 1 work
1 man in 20 days will complete 1÷8 work
1 man in 1 day will complete (1÷8)÷20 work
similarly 1 boy in 1 day will complete (1÷12)÷20 work
now 6 boys in 1 day will complete (1÷12)÷20×6
now 6 man in 1 day will complete (1÷8)÷20×6

now 6 man 6 boy in 1 day will complete
$1 \div 12 \div 20 \times 6 + 1 \div 8 \div 20 \times 6$
=0.0625 work
now to do 1 work 6 man 6 boy will take 1÷0.0625= 16 days