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Question

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?


A

11.30 a.m.

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B

12 noon

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C

12:30 p.m.

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D

1 p.m.

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E

11 p.m.

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Solution

The correct option is D

1 p.m.


(P+Q+R)’s 1 hour’s work =(18+110+112)=37120

Work done by P, Q and R in 2 hours =(37120×2)=3760

Remaining work =(13760)=2360

(Q+R)’s 1 hour’s work =(110+112)=1160

Now, 1160 work is done by Q and R in 1 hour

So, 2360 work will be done by Q and R in 6011×2360=2311hours=2 hours.

So, the work will be finished approximately 2 hours after 11 a.m., i.e. at around 1 p.m.


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