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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 machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?
- a)11:30 A.M.
- b)12 noon
- c)12:30 P.M.
- d)1:00 P.M.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A machine P can print one lakh books in 8 hours, machine Q can print t...
(P + Q + R)'s 1 hour's work = (1/8 + 1/10 + 1/12) = 37/120
Work done by P, Q and R in 2 hours = (37/120 * 2) = 37/60.
Remaining work = ( 1 - 37/60) = 23/60.
(Q + R)'s 1 hour's work = (1/10 + 1/12) = 11/60.
Now, 11/60 work is done by Q and R in 1 hour.
So, 23/60 work will be done by Q and R in (60/11 * 23/60) 23/11 hours = 2 hours.
So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.
Most Upvoted Answer
A machine P can print one lakh books in 8 hours, machine Q can print t...
Given Information:
- Machine P can print one lakh books in 8 hours.
- Machine Q can print one lakh books in 10 hours.
- Machine R can print one lakh books in 12 hours.
- All machines start at 9 A.M.
- Machine P is closed at 11 A.M. and the remaining two machines complete the work.
Approach:
To find out the time at which the work will be finished, we need to calculate the total time taken by the three machines to print one lakh books.
Calculation:
Let's calculate the work done by each machine in one hour.
- Machine P can print 1/8th of one lakh books in one hour.
- Machine Q can print 1/10th of one lakh books in one hour.
- Machine R can print 1/12th of one lakh books in one hour.
Let's calculate the work done by each machine in two hours.
- Machine P can print 2/8th or 1/4th of one lakh books in two hours.
- Machine Q can print 2/10th or 1/5th of one lakh books in two hours.
- Machine R can print 2/12th or 1/6th of one lakh books in two hours.
Since Machine P is closed at 11 A.M., the work done by Machine P in two hours is 1/4th of one lakh books.
Now, let's calculate the work done by Machine Q and Machine R in two hours.
- Machine Q can print 1/5th of one lakh books in two hours.
- Machine R can print 1/6th of one lakh books in two hours.
The total work done by Machine Q and Machine R in two hours is 1/5th + 1/6th = 11/30th of one lakh books.
So, the remaining work after two hours is 1 - (1/4 + 11/30) = (30 - 33 + 40)/120 = 37/120th of one lakh books.
Since Machine Q and Machine R continue working, the combined rate of both machines is 1/10 + 1/12 = 11/60th of one lakh books per hour.
Let's calculate the time required for Machine Q and Machine R to complete the remaining work.
- (37/120) / (11/60) = 37/120 * 60/11 = 1.818 hours.
Adding this time to the initial starting time of 9 A.M., we get 9 A.M. + 1.818 hours ≈ 10:55 A.M.
Therefore, the work will be finished approximately at 10:55 A.M., which is closest to option 'D' - 1:00 P.M.
- Machine P can print one lakh books in 8 hours.
- Machine Q can print one lakh books in 10 hours.
- Machine R can print one lakh books in 12 hours.
- All machines start at 9 A.M.
- Machine P is closed at 11 A.M. and the remaining two machines complete the work.
Approach:
To find out the time at which the work will be finished, we need to calculate the total time taken by the three machines to print one lakh books.
Calculation:
Let's calculate the work done by each machine in one hour.
- Machine P can print 1/8th of one lakh books in one hour.
- Machine Q can print 1/10th of one lakh books in one hour.
- Machine R can print 1/12th of one lakh books in one hour.
Let's calculate the work done by each machine in two hours.
- Machine P can print 2/8th or 1/4th of one lakh books in two hours.
- Machine Q can print 2/10th or 1/5th of one lakh books in two hours.
- Machine R can print 2/12th or 1/6th of one lakh books in two hours.
Since Machine P is closed at 11 A.M., the work done by Machine P in two hours is 1/4th of one lakh books.
Now, let's calculate the work done by Machine Q and Machine R in two hours.
- Machine Q can print 1/5th of one lakh books in two hours.
- Machine R can print 1/6th of one lakh books in two hours.
The total work done by Machine Q and Machine R in two hours is 1/5th + 1/6th = 11/30th of one lakh books.
So, the remaining work after two hours is 1 - (1/4 + 11/30) = (30 - 33 + 40)/120 = 37/120th of one lakh books.
Since Machine Q and Machine R continue working, the combined rate of both machines is 1/10 + 1/12 = 11/60th of one lakh books per hour.
Let's calculate the time required for Machine Q and Machine R to complete the remaining work.
- (37/120) / (11/60) = 37/120 * 60/11 = 1.818 hours.
Adding this time to the initial starting time of 9 A.M., we get 9 A.M. + 1.818 hours ≈ 10:55 A.M.
Therefore, the work will be finished approximately at 10:55 A.M., which is closest to option 'D' - 1:00 P.M.
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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 machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer?
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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 machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer?.
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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer?.
Solutions for 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 ?a)11:30 A.M.b)12 noonc)12:30 P.M.d)1:00 P.M.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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