SOLUTION: Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?

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Question 569572: Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?
.
Let x = time (hours) it takes typing together
then
x(1/2 + 1/7) = 1
multiplying both sides by 14:
x(7 + 2) = 14
x(9) = 14
x = 14/9
x = 1.56 hours
or
x = 1 hour and 33 minutes