A can do a piece of work in 30 days; B can do the same in 50 days.

A can do a piece of work in 30 days; B can do the same in 50 days. How many days will it take the work to get finished if A and B work together?

Quiz

Answer/Solution

18.75

Steps/Work

A completes 1/30th of the work in one day and B completes 1/50th.
(1/30)+(1/50)=(1/x)
8/150=1/x => x=150/8=18.75days
Answer: A