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 2 of 6.
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)
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)
Mohammed Ashraf said:
1 decade ago
Here is the easy step guys.
No. of pages typed by Ravi in 6 hours = 32.
Therefore no. of pages typed in 1 hr = 32/6 = 16/3.
No. of pages typed by Kumar in 5 hr = 40.
Therefore no. of pages typed in 1 hr = 40/5 = 8.
No. of. pages typed together in 1 hr = (16/3+8) = 40/3.
So, 40/3 pages were typed in 1 hr.
Therefore 110 pages will be typed in 1*110/(40/3) (by cross multi).
= 3 110*3/40 hours.
Hope you will get it.
No. of pages typed by Ravi in 6 hours = 32.
Therefore no. of pages typed in 1 hr = 32/6 = 16/3.
No. of pages typed by Kumar in 5 hr = 40.
Therefore no. of pages typed in 1 hr = 40/5 = 8.
No. of. pages typed together in 1 hr = (16/3+8) = 40/3.
So, 40/3 pages were typed in 1 hr.
Therefore 110 pages will be typed in 1*110/(40/3) (by cross multi).
= 3 110*3/40 hours.
Hope you will get it.
(1)
Rahul said:
7 years ago
8.25 hr means 8 * 60 min + .25 * 60 min.
.25 *60 min = 15 min.
That is why the answer is 8 hr 15 min.
or
8.25* 60 = 495,
80*60=480,
495-480=15 min.
.25 *60 min = 15 min.
That is why the answer is 8 hr 15 min.
or
8.25* 60 = 495,
80*60=480,
495-480=15 min.
(1)
Navya sri said:
6 years ago
Can any one explain me that why you multipled with 3/40 with 110. But we got 40/3 for 1 hour.
(1)
Abhi said:
9 years ago
Why 40/3 is taken as 3/40? Not getting this, please help me.
(1)
Nikhil said:
1 year ago
@All.
In 25min and 15min it is;
8.25 hrs = 8hrs + 0.25hrs,
0.25hrs = 15min.
So, the answer is 8hrs 15min.
In 25min and 15min it is;
8.25 hrs = 8hrs + 0.25hrs,
0.25hrs = 15min.
So, the answer is 8hrs 15min.
(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.
Vikas baba said:
8 years ago
Please, tell me that why we not required of remaining work = 1-40/3 =37/3?
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.
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