Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 30)
30.
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
30 days
40 days
60 days
70 days
Answer: Option
Explanation:

Let A's 1 day's work = x and B's 1 day's work = y.

Then, x + y = 1 and 16x + 44y = 1.
30

Solving these two equations, we get: x = 1 and y = 1
60 60

B's 1 day's work = 1 .
60

Hence, B alone shall finish the whole work in 60 days.

Discussion:
97 comments Page 8 of 10.

Abhilash said:   1 decade ago
How to solve alternative working days problem in time and work?

Priti said:   8 years ago
Please tell me how to solve the equation of x and y in detail?

Mona said:   9 years ago
How we are getting 1 in the equation 16x+44y please Explain.

SRI said:   9 years ago
1/30 - 1/16 = 7/240

2*1 / 44 = 1/22

7/240 - 1/22 = 43/2640

SHEIK said:   1 decade ago
@Kanna

Your explanation is good and easily understandable.

Sunil kumar said:   1 decade ago
Why can't we take 1/x, 1/y instead of x, y as one day work?

Neha said:   10 years ago
@Varun how you take 26.66%?

Can you explain me please?

Gamvir said:   5 years ago
Average work = 60.
A = 16/60 = 4/15.
B=11/15*1/44=60.
(5)

Thangeswari said:   1 decade ago
Kanna.

Thanks a lot. Your explanation was excellent.

Naseem Ahmad Saifi said:   10 years ago
There is no short cut for this @Ram is correct.


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