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A  can print one lakh of books in 8 hours, B can print the same number of books in 10 hours while C can print them in 12 hours. All started working at 9 A.M. while A is closed at 11 A.M. and the remaining work was completed by B and C. Approximately at what time will the work (to print one lakh books) to be finished?

A  can print one lakh of books in 8 hours, B can print the same number of books in 10 hours while C can print them in 12 hours. All started working at 9 A.M. while A is closed at 11 A.M. and the remaining work was completed by B and C. Approximately at what time will the work (to print one lakh books) to be finished? Correct Answer 1:00 PM

Given

A can print one lakh of books in hours = 8 hours,

B can print the same number of books in hours = 10 hours

C can print them in hours = 12 hours

Formula used 

Work = Time × Efficiency 

Calculation

(A + B + C)'s 1 hour's work

⇒ 1/8 + 1/10 + 1/ 12 = 37/120

Work done by A, B and C in 2 hours will be

⇒ (37/120) × 2 = 37/60

Remaining work

⇒ 1 - 37/60 = 23/60

(A + B)'s 1 hour's work

⇒ 1/10 + 1/12 = 11/60

Now, 11/60 Work is done by B and C in 1 hour.

So, 23/60 work will be done by A and C in (60/11) × 23/60  = 23/11 hour

∴ The work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

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