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?
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 2 of 10.
Vidhya said:
1 decade ago
What is the need to write number of days as a ratio?
Why cant we take it as x+y=30 ?
Why cant we take it as x+y=30 ?
Yogi said:
1 decade ago
@Manasa
Yes you are corrrect.
Yes you are corrrect.
SHEIK said:
1 decade ago
@Kanna
Your explanation is good and easily understandable.
Your explanation is good and easily understandable.
Soniya said:
1 decade ago
@kanna.
You are right. Thanks.
You are right. Thanks.
Thangeswari said:
1 decade ago
Kanna.
Thanks a lot. Your explanation was excellent.
Thanks a lot. Your explanation was excellent.
Pandit said:
1 decade ago
@Kanna.
You explain very easly. Thanks a lot.
You explain very easly. Thanks a lot.
Priyanka said:
1 decade ago
@vidya :- we are taking 1/30 , becoz we are talking about work completed by x and y in one day .
Raj said:
1 decade ago
@vidya.
Given x and why worked for 30 days.
So, x and y's one days work is 1/30.
Given x and why worked for 30 days.
So, x and y's one days work is 1/30.
Vino said:
1 decade ago
For eg:16x+44y=1:
A work is completed in 16days
For 16 days A's work is 16*x;
Remaining work=1-A's work...so
Remaining +A's work=1
Remaining work is done by 44 days=44*y
that's it.
A work is completed in 16days
For 16 days A's work is 16*x;
Remaining work=1-A's work...so
Remaining +A's work=1
Remaining work is done by 44 days=44*y
that's it.
Ats said:
1 decade ago
Hi All,
Can somebody please explain me how solving the following equations.
1) x+y = 1/30.
2) 16x+44y = 1.
Result in x = 1/60 & why = 1/60 ?
Can somebody please explain me how solving the following equations.
1) x+y = 1/30.
2) 16x+44y = 1.
Result in x = 1/60 & why = 1/60 ?
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