Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 4)
4.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Answer: Option
Explanation:
Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
| If difference of time is 60 days, B takes |  |
3 | x 60 |  |
= 90 days. |
| 2 |
So, A takes 30 days to do the work.
| A's 1 day's work = | 1 |
| 30 |
| B's 1 day's work = | 1 |
| 90 |
| (A + B)'s 1 day's work = | |
1 | + | 1 | |
= | 4 | = | 2 |
| 30 | 90 | 90 | 45 |
 A and B together can do the work in |
45 | = 22 | 1 | days. |
| 2 | 2 |
Discussion:
287 comments Page 1 of 29.
Vishakha said:
4 days ago
According to me, it is 20 days.
Yash talavatkar said:
2 weeks ago
A is thrice of B and A takes 60 days less than B.
So,
Assume A takes - 30 days.
B takes - 90 Days.
One day's work of A- 1/30.
One day's work of B - 1 /90.
LCM = 90.
3/90 + 1/90 = 4/90.
90/4 = 22.5.
So,
Assume A takes - 30 days.
B takes - 90 Days.
One day's work of A- 1/30.
One day's work of B - 1 /90.
LCM = 90.
3/90 + 1/90 = 4/90.
90/4 = 22.5.
(6)
Nikitha Mekala said:
4 weeks ago
A : B is x : 3x.
A takes 60days less than B
So, 3x - x = 60.
X = 30.
Now Ais 30 and Bis 90.
Then the total work is 1/30 + 1/90
= 4/90 ==> 2/45.
So the answer ==> 45/2.
=> 22 1/2.
A takes 60days less than B
So, 3x - x = 60.
X = 30.
Now Ais 30 and Bis 90.
Then the total work is 1/30 + 1/90
= 4/90 ==> 2/45.
So the answer ==> 45/2.
=> 22 1/2.
(9)
Ajishwarya said:
5 months ago
A is thrice as good a workman as B:
So, A = 3 B.
Substitute A as 1/60.
1/60*3 = B.
1/180 = B
Working together :
A + B = 1/60 + 1/180.
= 4/180,
= 1/45 = 45 Days.
So, A = 3 B.
Substitute A as 1/60.
1/60*3 = B.
1/180 = B
Working together :
A + B = 1/60 + 1/180.
= 4/180,
= 1/45 = 45 Days.
(38)
Lalith kumar said:
7 months ago
First, A is thrice as good as B means.
If a takes a day to complete work, then b takes 3 days to complete the same work.
Here, time is inversely proportional to work.
So if b takes time T to complete, then a takes T/3 to complete.
In question, they mentioned that the time diff is 60 days.
So, T - T/3 = 60.
2T/3 = 60.
T = 90.
Now, calculate the combined work and how many days it will take.
1/30 + 1/90 = 2/45 = 22.5.
If a takes a day to complete work, then b takes 3 days to complete the same work.
Here, time is inversely proportional to work.
So if b takes time T to complete, then a takes T/3 to complete.
In question, they mentioned that the time diff is 60 days.
So, T - T/3 = 60.
2T/3 = 60.
T = 90.
Now, calculate the combined work and how many days it will take.
1/30 + 1/90 = 2/45 = 22.5.
(18)
Mishra said:
7 months ago
Given: A takes 60 days less than B.
So, let A takes 90days,
B takes 30days.
LCM of 90, 30 = 180 and effeciency of A = 2 (180/90), B = 6 (180/30);
Both work together A + B = (2+6) = 8;
So, total work = 180(LCM);
total days = work/efficiency of both.
= 180/8 = 22.5.
So, let A takes 90days,
B takes 30days.
LCM of 90, 30 = 180 and effeciency of A = 2 (180/90), B = 6 (180/30);
Both work together A + B = (2+6) = 8;
So, total work = 180(LCM);
total days = work/efficiency of both.
= 180/8 = 22.5.
(15)
Yash Sangle said:
9 months ago
3/1 = (B)/(B-60).
As work done and time are inversely related,
so, B = 90, A = 30.
(1/90 + 1/30) = (2/45),
So, 22 1/5.
As work done and time are inversely related,
so, B = 90, A = 30.
(1/90 + 1/30) = (2/45),
So, 22 1/5.
(13)
Yash Sangle said:
9 months ago
3/1 = (B)/(B-60).
As work done and time are inversely related,
So, B=90, A=30.
(1/90 + 1/30) = (2/45),
So, 22 1/5.
As work done and time are inversely related,
So, B=90, A=30.
(1/90 + 1/30) = (2/45),
So, 22 1/5.
(5)
Nallapu Rishith Reddy said:
9 months ago
3/1 = (B)/(B-60).
As work done and time are inversely related,
so, B=90, A=30.
(1/90+1/30)=(2/45),
So, 22 1/5.
As work done and time are inversely related,
so, B=90, A=30.
(1/90+1/30)=(2/45),
So, 22 1/5.
(5)
Raseswari said:
10 months ago
I am not understanding this question.
Anyone help me to get it be explaining it along with the formulas?
Anyone help me to get it be explaining it along with the formulas?
(20)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers