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 9 of 10.
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 .
Pandit said:
1 decade ago
@Kanna.
You explain very easly. Thanks a lot.
You explain very easly. Thanks a lot.
Thangeswari said:
1 decade ago
Kanna.
Thanks a lot. Your explanation was excellent.
Thanks a lot. Your explanation was excellent.
Soniya said:
1 decade ago
@kanna.
You are right. Thanks.
You are right. Thanks.
SHEIK said:
1 decade ago
@Kanna
Your explanation is good and easily understandable.
Your explanation is good and easily understandable.
Yogi said:
1 decade ago
@Manasa
Yes you are corrrect.
Yes you are corrrect.
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 ?
Manasa said:
1 decade ago
A's 1 day work ,consider X
B's 1 day work ,consider Y
(A+B) 1 day work=(X+Y)=1/30
next condition:
A works for 16 days=16*X
B works for 44 days for remaining work to complete=44*Y
to complete whole work;16X+44Y=1
by solving both equations ,we get
X=1/60,Y=1/60
B can complete work in 60 days.
B's 1 day work ,consider Y
(A+B) 1 day work=(X+Y)=1/30
next condition:
A works for 16 days=16*X
B works for 44 days for remaining work to complete=44*Y
to complete whole work;16X+44Y=1
by solving both equations ,we get
X=1/60,Y=1/60
B can complete work in 60 days.
Bangaram said:
1 decade ago
Kanna your explaination was good.
Akiii said:
1 decade ago
Kanna you are right.
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