Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 13)
13.
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
40
50
54
60
Answer: Option
Explanation:

(A + B)'s 20 day's work = ( 1 x 20 ) = 2 .
30 3

Remaining work = ( 1 - 2 ) = 1 .
3 3

Now, 1 work is done by A in 20 days.
3

Therefore, the whole work will be done by A in (20 x 3) = 60 days.

Discussion:
63 comments Page 5 of 7.

Ash said:   9 years ago
And what we do if the whole work was done by B alone. Then the answer should remain the same or will be changed?

Please answer me.

Gaurav said:   9 years ago
Why 1 is subtract from 2/3?

Harish said:   9 years ago
(A + B) does a piece of work in 30 days.
Therefore (A+B) = 1/30.

Then (A+B) does the same work together for 20 days, so it is taken as 1/20 days.
Remaining work = 1/30 - 1/20 = 1/60 days.
1/60 = 60 days.

The whole work will be done by A = 60 days.

Manmohan said:   9 years ago
Why we can take t*d?

But some problems we can take pages/time.

Senchu Thomas said:   9 years ago
A and B can together finish a work 30 days.

They worked together for 20 days and then B left.

After another 20 days, A finished the remaining work.

ie, remaining work is 30 - 20 = 10.
10 work in 20 days.

So 1 work 2 days.
So 30 work in 30*20 = 60 days.

Balaji rajendran said:   10 years ago
@Raj.

B alone can finish the work in 60 days same as A.

A+B = 1/30 and A = 1/60 then B = 1/30-1/60 = 1/60. So B alone can finish the work in 60 days.

Balaji rajendran said:   10 years ago
@Deepak yadav.

In this problem A can finish 10 days work in 20 days so if he left alone to do a 30 days work, he will take 60 days to finish the work.

Deepak yadav said:   1 decade ago
Please give its short trick.

VANI said:   1 decade ago
@Ankush.

Here in question said that 1/3 work is done by A after another 20 days. So we done 20*3.

Raj said:   1 decade ago
In how many days B alone can finish the work?


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