SOLUTION: IF JOSEPH CAN ENCODE ONE BOX FILE OF DATA WITHIN 4 HOURS, AND JOEL CAN ENCODE THE SAME VOLUME(1 BOX FILE) WITHIN 7 HOURS, HOW LONG CAN THEY FINISH 150 BOX FILES TOGETHER?

Question 612855: IF JOSEPH CAN ENCODE ONE BOX FILE OF DATA WITHIN 4 HOURS, AND JOEL CAN ENCODE THE SAME VOLUME(1 BOX FILE) WITHIN 7 HOURS, HOW LONG CAN THEY FINISH 150 BOX FILES TOGETHER?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
IF JOSEPH CAN ENCODE ONE BOX FILE OF DATA WITHIN 4 HOURS, AND JOEL CAN ENCODE THE SAME VOLUME(1 BOX FILE) WITHIN 7 HOURS, HOW LONG CAN THEY FINISH 150 BOX FILES TOGETHER?
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Joseph rate: 1/4 box/hr
Joel rate:: 1/7 box/hr
Together rate: 1/x box/hr
----
Equation:
rate + rate = together rate
1/4 + 1/7 = 1/x
7x + 4x = 28
11x = 28
x = 28/11 boxes (# of hrs to complete one box together)
=======================
# of hrs to complete 150 boxes = 150/(28/11) = 150*11/28 = 58.93 hrs
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Cheers,
Stan H.

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