Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 10)
10.
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 ?
Answer: Option
Explanation:
| (P + Q + R)'s 1 hour's work = |  |
1 | + | 1 | + | 1 |  |
= | 37 | . |
| 8 | 10 | 12 | 120 |
| Work done by P, Q and R in 2 hours = | |
37 | x 2 | |
= | 37 | . |
| 120 | 60 |
| Remaining work = | |
1 - | 37 | |
= | 23 | . |
| 60 | 60 |
| (Q + R)'s 1 hour's work = | |
1 | + | 1 | |
= | 11 | . |
| 10 | 12 | 60 |
| Now, | 11 | work is done by Q and R in 1 hour. |
| 60 |
| So, | 23 | work will be done by Q and R in | |
60 | x | 23 | |
= | 23 | hours  2 hours. |
| 60 | 11 | 60 | 11 |
So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.
Discussion:
95 comments Page 8 of 10.
Ranjeet singh said:
1 decade ago
A+B+C = 3/25.
A+A = 3/25 //B+C = A.
2A = 3/25.
A = 3/25*2.
A = 3/50.
A+A = 3/25 //B+C = A.
2A = 3/25.
A = 3/25*2.
A = 3/50.
Divya said:
10 years ago
How do I get this answer 2*1/8 + (1/10) * x + (1/12) x = 1?
x = 4.09.
x = 4.09.
SANJEEV said:
1 decade ago
2(1/8)+x(1/10 + 1/12) = 1.
>> x=45/11 nearly 4 >> 1pm.
>> x=45/11 nearly 4 >> 1pm.
Sowjanya said:
1 decade ago
Hey friends. Can any one suggest why 60/11 is multiplied with 23/60?
Pandu said:
1 decade ago
This problem code is length. Please any shortcut of this problem.
Ramya said:
7 years ago
How we take P is working for 2 hour, it is not mentioned here?
Rojash thapa said:
4 years ago
Please somebody help me to solve this problem in an easy way.
(2)
Barun kumar mahalik said:
8 years ago
8+3=11,
10+3=13,
12+3=15,
11+13+15=39/3=13,
13 is called 1pm.
10+3=13,
12+3=15,
11+13+15=39/3=13,
13 is called 1pm.
(1)
Rohan said:
5 years ago
Why we didn't add the P's work at the end? Please explain.
Shree said:
8 years ago
I got it with the help of given explanation. Thanks all.
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