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 work. Approximately at what time will the work (to print one lakh books) be finished ?
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1 hour's work of P+Q+R = 1/8+1/10+1/12 = 37/120
Work done in 2 hrs by P,Q&R = 37/120*2 = 37/60
Remaining work = 1-37/60 = 23/60
1 hr's work of Q+R = 1/10+1/12 = 11/60
Work done by Q&R in 1 hr is 11/60
23/60 will be the work done by Q&R in 60/11*23/60 = 23/11 hrs≈2hrs
So approximately the work will be finished 2 hrs after 11A.M i.e around 1PM
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