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 1 of 6.

Kishan Maurya said:   4 years ago
The right Answer is 8.25.
(21)

Himanshu said:   5 years ago
Ravi typed 32 pages in 6 hrs that mean in one hour he typed 6 pages.
Kumar typed 40 pages in 5hrs that mean in one hour he typed 8 pages.

If they both work together they can type 8+6=14 pages per hour.
Now they have to type 110 page and they can type 14 page per hour.
110/14 = 7.85 =7 hrs and 85 min =8hrs and 15 min.
(18)

Supritam Mohanty said:   4 years ago
Ans. is 8.25.
The ans is 8(1/4),
That means 8.25.
Because 1/4= 0.25.
(6)

M.Sheela said:   4 years ago
Those who have doubt in 25 minutes & 15 min.

Just look at here;
The Answer is 8 (1/4) = 8 hrs 1/4*60 minutes.

i.e 8hrs and 15 minutes.
Or we can say 1/4th of 1hr(60min.) is 15 minutes.
(6)

Gaurav kadaskar said:   1 year ago
The correct answer is 8.25 hr.
(5)

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)

Pema said:   5 years ago
@Himanshu,

Your method is very simple and clean, thanks.

But 32/6 gives you approximately 5.33.

Following your steps, the answer is option D. Which is 8hours:25mins. Please check it.
(4)

Ladshika Mohan said:   5 years ago
3*110/40 = 8.25 then how come 8.15?
(2)

NEERAJ said:   5 years ago
Time taken by Ravi for typing 32 pages=6hours.
Time taken by Kumar for typing 40 pages=5hours.
Therefore, time taken for Ravi for typing 1 page=6/32.
Similarly, time taken by Kumar for typing 1 page=5/40.
So, time taken when both worked together for typing 1page= (6/32) + (5/40).

Time taken when both worked together for typing 110 pags=110* ( (6/32) + (5/40)).

Is this method valid? Anyone suggest me.
(2)

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.
(1)


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