Problema Solution

Rowena can complete typing the report in 8 hours after she has been working for 2 hours,Florian who is able to finish this job in 10 hours is assigned to help her.in how many hours will Rowena and Florian complete the job if they work together?

Answer provided by our tutors

Time taken by Rowena = 8 hours

Actual time worked by Rowena = 2 hours

Fraction of work finished = 2/8 = 1/4

Fraction of work left = 3/4

Fraction of work done by Florian in 1 hour = 1/10

Fraction of work done by Rowena in 1 hour = 1/8

Total fraction of work done by them together in 1 hour = 1/10 + 1/8 = 9/40

Time taken by them to finish the work = 3/4 / (9/40) = 3/4 * 40/9 = 10/3 hours