Question

Raheema completes a certain work in 5 days and Fouzia completes the same in 7 days. If they both work together, how long will they take to complete the same work?

Answer 1

Let the time required to complete the work be 'x'

Work done by Raheema in one day = x/5
Work done by Fouzia in one day = x/7

Work done by Raheema and Fouzia together in one day = x/5 + x/7 = 7x/35 + 5x/35 = 12x/35

Days required to complete the work = x / (12x/35) = 35x/12x = 35/12 days
= (24+11)/12
= 2 11/12 days