Question

A team of two people Madan and Karthik, who can complete a piece of work together in 40 days, begin the work. Ritesh joins them after 8 days and the work gets completed in 24 days after Ritesh joins them. In how many days Ritesh alone complete the entire work?

Answer 1

Answer:

120 days

Step-by-step explanation:

Madan and Karthik complete the work in 40days.

Work done by them in one day=1/40

Work done by both of them in  8 days=8/40

Work remaining=1-8/40=32/40

After 8 days Ritesh joins them and works completed in 24 days ritesh joins them.

Work done by ritesh in one day=r

Then according to problem

32/40=24(work done by karthik and madan in one day)+24(work done by ritesh in one day)

32/40=24*(1/40)+24*r

8/40=24*r

r=1/120

So,ritesh can complete the work alone in 120 days.

Hope this answer helps!!