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.

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.

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.
(1)

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.

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.

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.

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.
(1)

Ramu said:   1 decade ago
Why did they change 40/3 into 3/40 in the next line. ?

They could have done like 110*(40/3) itself. !

Nitin. said:   1 decade ago
If you solve 110*3/40 you will get exactly 8.25. Then why 8.15 please anyone explain in detail.

Aditya said:   3 years ago
40/3 Pages takes 1 hour.
110 pages will take x hours.

Therefore : 110*(40/3) = 110 * 3/40.
(4)

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)


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