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Question

A printer A can print 1 lakh books in 16 hours, printer B can print the same number of books in 20 hrs while printer C can print them in 24 hrs. All the printers are started at 5 p.m. while printer A is closed at 10 p.m. and the remaining two printers complete the work. Approximately at what time will the work be finished?


A

11:30 a.m.

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B

12 midnight

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C

12:30 p.m.

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D

12:30 a.m.

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E

None of these

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Solution

The correct option is D

12:30 a.m.


(A + B + C)`s 1 hour`s work = 116+120+124=37240

Work done by A,B and C in 5 hours = 37240×5=3748

Remaining work = 1- 3748 = 1148

(B + C)`s 1 hour`s work = 120+124=11120

Now, 11120 work is done by B and C in 1 hour

So, 1148 nwork will be done by B and C in 12011×1148=2.5 hours

So, the work will be finished in 2 hours 30 mins after 10 p.m i.e, at 12:30 a.m


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