Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 18)
18.
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Answer: Option
Explanation:
| Number of pages typed by Ravi in 1 hour = | 32 | = | 16 | . |
| 6 | 3 |
| Number of pages typed by Kumar in 1 hour = | 40 | = 8. |
| 5 |
| Number of pages typed by both in 1 hour = |  |
16 | + 8 |  |
= | 40 | . |
| 3 | 3 |
 Time taken by both to type 110 pages = |
|
110 x | 3 | |
hours |
| 40 |
| = 8 | 1 | hours (or) 8 hours 15 minutes. |
| 4 |
Discussion:
53 comments Page 3 of 6.
Arunkumar said:
9 years ago
Convert hr to min .
Ravi's one min work = 32/360 = 4/45 (6 hours = 360 min).
Kumar's one min work = 40/300 = 2/15 (5 hours = 300 min).
4/45 + 2/15 = 10/45( ravi + kumar one min work).
So, for 110 pages 110(45/10) = 495 mins ==> 8 hrs(480 min) + 15 min ==> 8hrs 15 min.
Ravi's one min work = 32/360 = 4/45 (6 hours = 360 min).
Kumar's one min work = 40/300 = 2/15 (5 hours = 300 min).
4/45 + 2/15 = 10/45( ravi + kumar one min work).
So, for 110 pages 110(45/10) = 495 mins ==> 8 hrs(480 min) + 15 min ==> 8hrs 15 min.
Tara said:
9 years ago
@Ranji.
The answer 8 hours and 15 minutes is CORRECT. The error you are overlooking is the number 0.25. In you answer, mathematically it comes to 8.25, yes, but remember that means 8 hours and 0.25 hours. 0.25 hours is basically a quarter of an hour which is 15 minutes.
The answer 8 hours and 15 minutes is CORRECT. The error you are overlooking is the number 0.25. In you answer, mathematically it comes to 8.25, yes, but remember that means 8 hours and 0.25 hours. 0.25 hours is basically a quarter of an hour which is 15 minutes.
(1)
Abhi said:
9 years ago
Why 40/3 is taken as 3/40? Not getting this, please help me.
(1)
Kranthi said:
9 years ago
Answer 8.15 min.
After all calculation, we get 8.25.
Now 8 hours take beside,
.25 = 25/100 = 1/4.
If we convert 1/4 in min it's 15 min ( 1/4 * 60).
Now answer 8.15 min.
After all calculation, we get 8.25.
Now 8 hours take beside,
.25 = 25/100 = 1/4.
If we convert 1/4 in min it's 15 min ( 1/4 * 60).
Now answer 8.15 min.
Kalai said:
9 years ago
Yes, the right answer is 8.25mins.
Mahi said:
9 years ago
33/4 = 8.25 not 8.15.
Milon said:
9 years ago
Anybody know the quick method to solve this type of problem?
Kavi said:
9 years ago
Here 3/40 * 110 is given 8.25. But we have the 0.25 value so it is converted to minutes 0. 25 * 60 = 15.
So the answer becomes 8 hours 15 minutes.
Thank you.
So the answer becomes 8 hours 15 minutes.
Thank you.
Harsh said:
9 years ago
Assume that the both took X house to complete the job and from the question, we know that Ravi types (16/3) pages in an hour while kumar types 8 pages.
So, ((16/3) * X + (8) * X) = 110.
Solve to get X = 8.25.
Where 0.25 of 1 hour is 15 mins,
so, X = 8 hrs and 15 mins.
So, ((16/3) * X + (8) * X) = 110.
Solve to get X = 8.25.
Where 0.25 of 1 hour is 15 mins,
so, X = 8 hrs and 15 mins.
(1)
Ankit said:
9 years ago
Yes, answer id 8 hours and 25 minutes.
Because it is 33/4, which is equal to 8 * 1/4, not 8 + (1/4). Understand this point.
Because it is 33/4, which is equal to 8 * 1/4, not 8 + (1/4). Understand this point.
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