Question

# It one machine would take 4 hours to complete a large production order and another machine 3 hours to complete the same order. How many hours would both machines take, working simultaneously at their respective constant rates, to complete the order?

A
712
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B
112
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C
157
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D
312
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E
7
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Solution

## The correct option is A 157Order completed by machine M1 in 1 hour =W4Similarly, Order completed by machine M2 in 1 hour =W3⇒W4+W3=7W12This means that when both machines are working together work done per hour⇒W127So, the work will be completed in 127hrsasW127×127=WTherefore Answer is 127hrs=157

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