Problema Solution

A can do a work in 5 days and B can do the same work in 3 days . In how many days working together can finish the work?

Answer provided by our tutors

A can do a work in 5 days thus the rate of A is 1/5 work/day


B can do the same work in 3 days thus the rate of B is 1/3 work/day


x = the number of days A and B need when working together


the together rate of A and B is: 1/x work/day


1/5 + 1/3 = 1/x


by solving we find:


x = 1.875 days


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1.875 days = 1 day 0.875*24 hr = 1 day 21 hr


A and B can finish the work together in 1 day and 21 hours.