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  • 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 machine

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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Solution:   1 hour's  work of  P+ Q + R =( 1/8 + 1/10 +1/12 ) =37/120 

work done in 2 hour by P ,Q & R = ( 37/120 ) × 2 = 37/60 

Remaining work = 1 - 37/60 =23/60 

1 hours work of Q + R =1/10 + 1/12 =11/60 

work done Q & R in 1 hour is 11/60 

23/60 will be the work done by Q and R in ( 23/60 )× (60/11) =23 /11  

So approximately the work will be finished 2 hours  after 11 A.M   i.e around 1 P,M Ans

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Deependra Verma

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