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.
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.
Neha said:
10 years ago
@Varun how you take 26.66%?
Can you explain me please?
Can you explain me please?
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?
Pranav Jain said:
10 years ago
What happens if the third condition is implemented saying B and C completes work in 16 days and A works for 7 days, B for 5 and C alone completes remaining work for 13 days, then C alone can complete work in how many days, how to solve this, when another variable is involved?
Jitender said:
10 years ago
I want any short method of this question.
Bala said:
10 years ago
@Varun method is short one but calculation will be difficult.
@Neha Varun convert A's 16 days work into percentage i.e 16/60 = 26.66.
Total working days A+B = 60.
@Neha Varun convert A's 16 days work into percentage i.e 16/60 = 26.66.
Total working days A+B = 60.
Sri said:
10 years ago
Please explain in LCM method.
Vaibhav said:
10 years ago
A and B complete work in 30 days.
A+B = 30.
A finished work in 16 Days and Remaining worked finished by B in 44 days.
It means 16 + Remaining days = 44 days.
16-44 = 28 days.
So B takes 28 days to finish the work alone.
But A and B together Finished work in 30 days.
16+14 = 30.
If they work together it takes 14 days to complete remaining work.
But B takes 28 days it means.
Both together takes 30 days so only B will take 60 days to complete the work.
Sorry my thinking is different.
A+B = 30.
A finished work in 16 Days and Remaining worked finished by B in 44 days.
It means 16 + Remaining days = 44 days.
16-44 = 28 days.
So B takes 28 days to finish the work alone.
But A and B together Finished work in 30 days.
16+14 = 30.
If they work together it takes 14 days to complete remaining work.
But B takes 28 days it means.
Both together takes 30 days so only B will take 60 days to complete the work.
Sorry my thinking is different.
Naseem Ahmad Saifi said:
10 years ago
There is no short cut for this @Ram is correct.
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