Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 28)
28.
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

13 1 days
3

15 days
20 days
26 days
Answer: Option
Explanation:

Work done by X in 8 days = ( 1 x 8 ) = 1 .
40 5

Remaining work = ( 1 - 1 ) = 4 .
5 5

Now, 4 work is done by Y in 16 days.
5

Whole work will be done by Y in ( 16 x 5 ) = 20 days.
4

Therefore X's 1 day's work = 1 , Y's 1 day's work = 1 .
40 20

(X + Y)'s 1 day's work = ( 1 + 1 ) = 3 .
40 20 40

Hence, X and Y will together complete the work in ( 40 ) = 13 1 days.
3 3

Discussion:
31 comments Page 1 of 4.

Anonymous said:   3 years ago
@All.

For those who are asking why 5/4 is multiplied,

Let's take an example, Suppose You complete work 1/2 of a work in 2 days. In how much time will you complete the entire work. 4 days right, how did you get it? you multiplied 2.

Eg:

1/2 : 2 is as 1: x, (I took 1 as it is the complete work).

Solving that, you still will get 4 as the answer. Same logic you can apply.
Thank you.
(1)

Ria Sharma said:   3 years ago
Thank you @Mohit.

Thiru said:   3 years ago
Take X's work as 1/40 he can do the work in only 8 days so 1/40*8=1/5.
Now 4/5 part of the work is remaining so Y is completing 4/5 part in 16 days 4/5 * 16 = 1/20.
Asking whole men's work1/20+1/40 = 13 1/3 days.

Yeezuu said:   4 years ago
I am not getting the answer, Can anybody help? please.
(1)

Biswajit das said:   4 years ago
x in 40 days =100% work done.
Then in 08 days= 20 % work done.

The remaining work is 80 % which is done by Y in 16 Days.
in 16 Days =80 % work done.
Then in 20 Days =100 work done.
x=40.
y=20.

LCM =40 (Total work).
X one day work is 01 and 02 is Y's.
Then work done both x and y in= 40/3=13+1/3 Days.
(5)

Mir Adil said:   5 years ago
If x does a work at 8 days out of 40 days remaining 32 days are left.

Then y does remaining 32 days work in 16 days itself so Their ratio is 1:2 totally they can do 3 parts in one day, So 3+3+3+3+3+3+3+3+3+3+3+3+3 it completes 39 days here and 1/2 to complete 40 days.
(1)

Ganesh kumar said:   5 years ago
How 4/5 becomes into 5/4?

Please clarify it.

Midhun said:   5 years ago
Thanks @Manu.

Atul said:   5 years ago
Wonderful explanation, thanks @Mohit.
(1)

Sutha said:   5 years ago
How 4/5 becomes into 5/4. Please clarify it.


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