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At what time will the printing work will be done if 2 lacks books can be printed by machine P in 10 hours. The same number of books machine Q can print in 12 hours. Machine R can be printed them in 15 hours. All the machines are started at 10 A.M. while machine Q is closed at 12 P. M. and the remaining two machines complete work.

At what time will the printing work will be done if 2 lacks books can be printed by machine P in 10 hours. The same number of books machine Q can print in 12 hours. Machine R can be printed them in 15 hours. All the machines are started at 10 A.M. while machine Q is closed at 12 P. M. and the remaining two machines complete work. Correct Answer 3 P. M.

Given:

A machine P can print 2 lacks books in 10 hours.

Machine Q can print the same number of books in 12 hours.

Machine R can print them in 15 hours.

All the machines are started at 10 A.M. while machine Q is closed at 1 P. M.

Calculation:

Work done by P, Q and R in one hour = 1/10 + 1/12 + 1/15 = 1/4

Work done by P, Q and R together in 2 hours = 1/2

Remaining work is 1/2.

Work done by P and R together in one hour is 1/10 + 1/15 = 1/6

1/6 work is done by P and R in 1 hour.

1/2 work will be done by P and R in 6 × 1/2 = 3 hours

∴ 2 lacks books will be printed at 3 P.M..

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