Exams › IBPS PO › Quantitative Aptitude

A can print one lakh 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., and A stopped at 11 A.M. The remaining work was completed by B and C. Approximately at what time will the work of printing one lakh books be finished?

1. 2:30 PM
2. 1:00 PM
3. 1:00 AM
4. 2:00 PM

Correct answer: 1:00 PM

Solution

A’s rate is 1/8 work per hour, B’s is 1/10, and C’s is 1/12. In 2 hours, A, B, and C together complete 2(1/8+1/10+1/12)=37/60 of the work, leaving 23/60. B and C together work at 1/10+1/12=11/60 per hour, so the remaining work takes 23/11 hours, i.e. about 2 hours 5 minutes after 11 A.M., which is approximately 1:00 PM.

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