Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 11)
11.
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
5

5 1
2

6
8
Answer: Option
Explanation:

B's 10 day's work = ( 1 x 10 ) = 2 .
15 3

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

Now, 1 work is done by A in 1 day.
18

Therefore 1 work is done by A in ( 18 x 1 ) = 6 days.
3 3

Discussion:
63 comments Page 4 of 7.

Swapna said:   9 years ago
Can anyone know the shortcut method to solve this problem?

Moni said:   9 years ago
A can do a work in P days and B can do the same work in 2P days, A stop working after some days B alone complete the work in R days. How many days it takes to complete the work?

Can anyone solve this problem?

Ashok said:   9 years ago
Verification of answers:

B can do 10 days work in = 10/15.

A can do one day work = 1/18.

So we can verify the options like to became A+B = 1.

Given That,

B left the work after days so.

10/15+ x*1/18 = 1.

By verifying result: x = 6.

SHRAVAN LAL said:   10 years ago
A ----- 18 days * 5

B ----- 15 days * 6

L.C.M = 90.

B work 10 days and does 10*6 = 60 works.

So left work is 90 - 60 = 30.

A alone does this 30/5 = 6 days.

Very simple.

Arsh said:   10 years ago
{(1/15)*10}+{(1/18)*x} = 1.

x = 6.

Mudasir Ali said:   10 years ago
Let total work be x. A completes in 15 days i.e in 15 days:

x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15+x/15 = x.

In each day A does x/15 of work.

Sunil Singh said:   10 years ago
@Willoy.

Here B is alone working for 10 days without the help of A.

So work done by B in 10 days = 10*1/15 = 2/3.

Remaining work after 10 days 1-2/3 = 1/3.

Kullu sandhu fdk punjab said:   10 years ago
Hi friend see here:

{Time taken to complete work = Left work*Time taken to complete full work}.

Left work 1/3.

Time taken to complete full work by a = 8 then 1/3*8 = 6 answer.

Musheer said:   1 decade ago
Look 1 work is done in 18 days. So 1/3 work is done in 18*(1/3).

Hope its clear.

Gobinath b said:   1 decade ago
Anyone can you how it is?


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