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?

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Solution

The correct option is **A** 157

Order completed by machine M1 in 1 hour =W4

Order completed by machine M1 in 1 hour =W4

Similarly, Order completed by machine M2 in 1 hour =W3

⇒W4+W3=7W12

This means that when both machines are working together work done per hour

⇒W127

So, the work will be completed in 127hrs

as

W127×127=W

Therefore Answer is 127hrs=157

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