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Bunuel
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The fast way to answer is
7×5 / 7+5=35/12

Or, (1/5+1/7)x=1
12/35× x=1
X=35/12
Option C

Posted from my mobile device
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Bunuel
It would take one machine 7 hours to complete a large production order and another machine 5 hours to complete the same order. If they can work on the order simultaneously without interfering with each other, how many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?

A. 12/35
B. 48/35
C. 35/12
D. 40/7
E. 12
Let total work be 35 (LCM of 5 & 7)

Efficiency of the Machines are 5 units/hr & 7 Units/Hr

Combined efficiency of both the machine is 12 Units/Hr

So, Time Required is 35/12 , Answer must be (C)

Shortcut formula is -

AB/(A+B)
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