Question

Priya can do 1/2 of the work in 10 days while pooja can do 1/3 of the work in 10 days. how long it will take for both of them to finish the work of priya started the work and they work on alternative days. solve problems

Answer 1

Priya can do 1/2 work ---- 10 days
Hence 1 work in 20 days

Pooja can do 1/3 work in 10 days
Hence 1 work in 30 days

In 1 day Priya does:1/20 work
In 1 day Pooja does: 1/30 work
They work alternatively:
Hence, in 2 days: they do 1/20 + 1/30 = 3+2/60 = 5/60 = 1/12 work

Hence in 2*12 days = 12* 1/12 work = 1 work
Hence work will be completed in 24 days.