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 6 of 10.
Muzzi said:
5 years ago
LCM Method
(A + B) 30 = 16A + 44B.
14A = 14B.
A/B = 1/1.
So one day work.
A = 1 unit.
B = 1 unit.
Total work = 30 x (1 + 1) = 60 units.
Time taken by B = 60/1 = 60 days.
(A + B) 30 = 16A + 44B.
14A = 14B.
A/B = 1/1.
So one day work.
A = 1 unit.
B = 1 unit.
Total work = 30 x (1 + 1) = 60 units.
Time taken by B = 60/1 = 60 days.
(22)
Sandeep said:
8 years ago
LCM Method
(A + B) 30 = 16A + 44B
14A = 14B
A/B = 1/1
So one day work
A = 1 unit
B = 1 unit
Total work = 30 x (1 + 1) = 60 units
Time taken by B = 60/1 = 60 days.
(A + B) 30 = 16A + 44B
14A = 14B
A/B = 1/1
So one day work
A = 1 unit
B = 1 unit
Total work = 30 x (1 + 1) = 60 units
Time taken by B = 60/1 = 60 days.
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.
Dhanesh ck said:
9 years ago
I will tell the simplest way. From this question, it's clear that A worked for 16 days and B worked for 44 days so 1/30 * 16 + 1/B * 28 = 1. So we get B = 60.
Shubham Nale said:
5 years ago
A+B takes 30 days to complete whole work.
Their 1-day work
A=1/2 unit/day.
B=1/2 unit/day.
That means the total work of 30 days.
B alone will take 60 days.
Their 1-day work
A=1/2 unit/day.
B=1/2 unit/day.
That means the total work of 30 days.
B alone will take 60 days.
(1)
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 ?
Abir said:
3 years ago
30A + 30B = 16A + 44B.
A:B = 1 : 1.
Capability of both are equal,
A+B = 30,
2person need = 30days.
1person need = 2 * 30 = 60days.
A:B = 1 : 1.
Capability of both are equal,
A+B = 30,
2person need = 30days.
1person need = 2 * 30 = 60days.
(68)
Sneha said:
1 decade ago
Yet I don't get anything how the answer is 60. Please explain it.
x+y = 1/60 and 16x+44y = 1/60.
How it comes?
x+y = 1/60 and 16x+44y = 1/60.
How it comes?
Jeyasurya said:
7 years ago
B finishes the remaining work in 44 days.
A finishes the work in 16 days,
So, B alone, 44 + 16 = 60 days.
A finishes the work in 16 days,
So, B alone, 44 + 16 = 60 days.
(2)
Sunil kumar said:
1 decade ago
Any easy method better than above all? All are did in same method. Somehow tough above all the methods.
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