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 4 of 6.
KUMAR ABHISHEK said:
9 years ago
How the answer is option C?
The correct answer is 8 hours 25 minutes.
The correct answer is 8 hours 25 minutes.
KAUSHAL said:
9 years ago
Yes its answer should be D.
Pritam Kumar said:
10 years ago
Every step is correct till the last. Only calculation mistake is there. It's answer should be option D: 8 hours 25 minutes.
Khoshali said:
10 years ago
Isn't 8.25 is the right answer?
R: 1 hour = 32/6 pages.
K: 1 hour = 40/5 pages.
Let us assume they worked for x hours to complete the work.
[32/6+40/5]x = 110.
[160+240]x/30 = 110.
400x/30 = 110.
x = 8.25.
R: 1 hour = 32/6 pages.
K: 1 hour = 40/5 pages.
Let us assume they worked for x hours to complete the work.
[32/6+40/5]x = 110.
[160+240]x/30 = 110.
400x/30 = 110.
x = 8.25.
(1)
Ranji said:
10 years ago
D is the option C is incorrect it comes as 8.25 hrs and not 8.15 hrs.
Gnanamayil said:
1 decade ago
K but one doubt if we take days or works in time and work we take like 5 days means we put 1/5 but here why we take directly without denominator like 8 as 8 not 1/8. Please explain me.
Vivek said:
1 decade ago
How will you get 8 1/4 when you multiply 110*3/40?
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)
Anil said:
1 decade ago
1 hr = 60 minutes.
0.25 hr = x.
Cross multiplication.
60*0.25 = 15.
0.25 hr = x.
Cross multiplication.
60*0.25 = 15.
Divya said:
1 decade ago
@Kishore.
Can you please explain your example in a detailed manner.
How do you assume that ravi takes 1 hr to type 1 page and kumar takes 1.5 hrs to type 1 page.
Can you please explain your example in a detailed manner.
How do you assume that ravi takes 1 hr to type 1 page and kumar takes 1.5 hrs to type 1 page.
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