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.

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.

KAUSHAL said:   9 years ago
Yes its answer should be D.

KUMAR ABHISHEK said:   9 years ago
How the answer is option C?

The correct answer is 8 hours 25 minutes.

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.

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.
(1)

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.

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

Mahi said:   9 years ago
33/4 = 8.25 not 8.15.

Kalai said:   9 years ago
Yes, the right answer is 8.25mins.

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.


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