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?
7 hours 30 minutes
8 hours
8 hours 15 minutes
8 hours 25 minutes
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

Therefore 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.

Milon said:   9 years ago
Anybody know the quick method to solve this type of problem?

Lieja said:   8 years ago
No need to find remaining work. They asked to find only how much time to complete the 110 pages. So total pages done by both (40/3) * 110.

Rahul said:   8 years ago
Please tell me the calculation of (110 x 3/40).

Piyush said:   8 years ago
@Amansamana.

Ravi-192
Kumar-200
And applying lcm is not right approach as work is not same in both the cases.
so solution given is best for this type of question.

@Rahul
40/3 pages together in 1 hour.
1 page together in 3/40 hour.
110 pages in (110 x 3/40).

Pooja said:   8 years ago
1/4*60 => 15 min.

Annapurna kashyap said:   8 years ago
Elan's 1 hour work = 40/5 =8.
Elan's 6 hour work = 8*6 = 48.
Pages written by Ronald and Elan in 6 hours = 48+32 = 80.
( M^1*H^1/W^1=M^2*H^2/W^2).

2*6/80=2*x/110 (as x is the no of hours taken by both to write 110 pages).
= x=33/4= 8hours and 15 min.

Logesh said:   1 year ago
Good, Thanks @Himansu.

JIGSAW said:   9 months ago
Ravi takes 6 hours to type 32 pages =>7.5 hours to type 40 pages.
Kumar takes 5 hours to type 40 pages.
if they work together & assignment of 110 pages.
WKT after 7.5, 40 pages of Ravi + 40 of Kumar + 20 pages of Kumar = 100 pages - 7 hours 30 mins.
110 pages.
We get 8 hours and 15 min.

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.

Mahesh said:   1 decade ago
1 hour mean 60 minutes
1/4 hour mean 15 minutes
1/2 hour = 30 minutes


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