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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.
Question 1:
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 the work. Approximately at what time will the work be finished? A. 1:30 p.m.
B. 3 p.m.
C. 1 p.m.
Feedback The three machines 1 hour’s work = 1/8 + 1/10 + 1/12 = 37/120
Their, work from 9 a.m. to 11 a.m. = 2 hour’s work = 37/120 × 2= 27/60
The remaining work = 23/60
Machines Q and R’s 1 hours work = 1/10 + 1/12 = 11/60
Therefore, the time taken by Q and R to finish the remaining 23/60 work = 23/60/11/60
= 23/60 × 60/11 = 23/11 = 2 hours approx.
Therefore, the approximate time at which the work is finished = 11 + 2 = 1 p.m.
Their, work from 9 a.m. to 11 a.m. = 2 hour’s work = 37/120 × 2= 27/60
The remaining work = 23/60
Machines Q and R’s 1 hours work = 1/10 + 1/12 = 11/60
Therefore, the time taken by Q and R to finish the remaining 23/60 work = 23/60/11/60
= 23/60 × 60/11 = 23/11 = 2 hours approx.
Therefore, the approximate time at which the work is finished = 11 + 2 = 1 p.m.
D. 2 p.m.
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