Problema Solution

You can type 7 pages in 2 hours, and you friend can type 8 pages in 3 hours, if you both work together in how many hours would it take for both of you to type 37 pages?

Answer provided by our tutors

my rate is: 7/2 pages per hour


friend's rate is: 8/3 pages per hour


lets x pages per be the together rate, then we have:


7/2 + 8/3 = x


x = 37/6 pages per hour


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we need how many hours will it take to type 37 pages.


since speed = pages typed/time of typing we have time of typing = pages typed/speed


time of typing = 37/(37/6)


time of typing = 6 hours


it will take 6 hours for both to type 37 pages.