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 5 of 10.
Md Liton gazi. said:
3 years ago
A worked 16 days.
If 16 days= x portion.
The remaining work is 1-x portion.
which portion B finished by 44 days.
Then,
1-x = 44,
1-16 = 44 (x=16),
1 = 44 + 16,
1 = 60 (1= total portion)
Am I right? Please tell me.
If 16 days= x portion.
The remaining work is 1-x portion.
which portion B finished by 44 days.
Then,
1-x = 44,
1-16 = 44 (x=16),
1 = 44 + 16,
1 = 60 (1= total portion)
Am I right? Please tell me.
(16)
Selvi said:
2 decades ago
A having worked for 16 days
B finishes the remaining work alone in 44 days
so,
B finish the whole work alone is = A having worked+B finishes the remaining work alone
B alone = 16 days + 44 days
= 60 days
B finishes the remaining work alone in 44 days
so,
B finish the whole work alone is = A having worked+B finishes the remaining work alone
B alone = 16 days + 44 days
= 60 days
Biswaranjan mohapatra said:
8 years ago
x+y=30.
so if A do a work in x days then B do it in 30- x days.
A's 1-day work is 1/x.
B's 1-day work is 1/y.
Both 1-day work is 1/30.
So according to question.
1/x + 1/30-x = 1/30.
Solve it and find x.
so if A do a work in x days then B do it in 30- x days.
A's 1-day work is 1/x.
B's 1-day work is 1/y.
Both 1-day work is 1/30.
So according to question.
1/x + 1/30-x = 1/30.
Solve it and find x.
Ranjit said:
1 decade ago
How you got 16x + 44y = 1, thy said 16 days alone a worked remainig work finished by b is 44 days then how can you frame the equation from this given data, I cant get please make me to understand.
(2)
Viky said:
6 years ago
A work is x. ie. x work completed in 16 days.
B work is 1-x. ie. Remaining 1-x work completed in 44 days.
We need whole work completed ie. 1.
So,
A work + B work=1.
Therefore;
16+44 = 60days.
B work is 1-x. ie. Remaining 1-x work completed in 44 days.
We need whole work completed ie. 1.
So,
A work + B work=1.
Therefore;
16+44 = 60days.
(2)
Tapash Dey/LMG said:
8 years ago
My method:- Mixture
A -------------- B
16 -------------- 44
30 --------------
14 : 14
1 : 1
So, B completed the whole work( means A's work +B's work alone)=(16 x1 +44 x 1) = 60 days.
A -------------- B
16 -------------- 44
30 --------------
14 : 14
1 : 1
So, B completed the whole work( means A's work +B's work alone)=(16 x1 +44 x 1) = 60 days.
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.
Varun said:
1 decade ago
Total work: 44+16 = 60 days.
Now a does 26.66% work.
Therefore B does 100-26.66 = 73.34% work in 44 days.
Time in which B can complete the whole work : 100/73.34*44.
= 60 days.
Now a does 26.66% work.
Therefore B does 100-26.66 = 73.34% work in 44 days.
Time in which B can complete the whole work : 100/73.34*44.
= 60 days.
Sushma said:
1 decade ago
Hi all
Can any one explain clearly above 1, that hw the answer would be x=1/60 & y=1/60............
I think we cant get it from abve eqns that 16x +44y=1
x+y=1/30
Can any one explain clearly above 1, that hw the answer would be x=1/60 & y=1/60............
I think we cant get it from abve eqns that 16x +44y=1
x+y=1/30
Swarupa said:
6 years ago
A worked 16 days.
A+B worked 30 days.
A+B = 1/30.
16 days A work = 1/30x16 = 8/15 remaining work 7/15. done by B.
B alone work 44-16 = 28.
So Alone B work done =28 x 15/7 = 60.
A+B worked 30 days.
A+B = 1/30.
16 days A work = 1/30x16 = 8/15 remaining work 7/15. done by B.
B alone work 44-16 = 28.
So Alone B work done =28 x 15/7 = 60.
(2)
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