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 7 of 10.
Vinayan said:
9 years ago
Total work is equal to the LCM of 30, 16 & 44. ie 2640.
B finished the work in 2640/ 44 = 60 days.
B finished the work in 2640/ 44 = 60 days.
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 .
Rutika patel said:
10 years ago
I can't understand how we can right 16x+44y = 1.
How you get 1? What is the meaning of 1?
How you get 1? What is the meaning of 1?
Ram said:
1 decade ago
1/A + 1/B = 1/30 ------ 1.
16/A + 44/B = 1 ------- 2.
Solving these 2 equation:
B = 60.
16/A + 44/B = 1 ------- 2.
Solving these 2 equation:
B = 60.
Ugyen JIgme Chogyel said:
5 months ago
Then, In how many days shall B finish the whole work alone?
Anyone, please answer this.
Anyone, please answer this.
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 ?
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.
Sakshi said:
1 decade ago
I can't understand. Why we have used x? We did not do this in other question.
Guest said:
2 decades ago
Selvi: its wrong... because, we dont know a & b's one day work.
Ray said:
10 years ago
How can you get 1 in the equation: B = 1-16x? I don't understand.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers