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:
283 comments Page 29 of 29.
Kumar said:
2 decades ago
Hi Guys,
Let me do the same thing with different values.
Given statement : "A is thrice as good as workman as B"
Time difference : 60 days.
If B takes 12 days to complete a work, A will take only 4 days to complete the same work.
So, B takes 12 days whereas A takes 4 days only (because A is thrice as good as B).
Here time difference is 12 - 4 = 8 days.
If the time difference is 8 days, B takes 12 days.
Similarly if the time difference is 60 days, then B takes (12/8 * 60) = 90 days.
...Rest thing you can understand from the explanation part.
Let me do the same thing with different values.
Given statement : "A is thrice as good as workman as B"
Time difference : 60 days.
If B takes 12 days to complete a work, A will take only 4 days to complete the same work.
So, B takes 12 days whereas A takes 4 days only (because A is thrice as good as B).
Here time difference is 12 - 4 = 8 days.
If the time difference is 8 days, B takes 12 days.
Similarly if the time difference is 60 days, then B takes (12/8 * 60) = 90 days.
...Rest thing you can understand from the explanation part.
Sundar said:
2 decades ago
Hi Friends!
The statement "A is thrice as good as workman as B" states that, If A complete a work in 1 day, B will take 3 days to complete the same work.
Therefore, if A takes 1 day, B takes 3 days, the time difference is 2 days.
If the time difference is 2 days, B takes 3 days to complete the work.
Similarly if the time difference is 60 days, then B takes (3/2*60) = 90 days.
Then A takes 90 - 60 = 30 days to complete the work.
It is very simple man.
The statement "A is thrice as good as workman as B" states that, If A complete a work in 1 day, B will take 3 days to complete the same work.
Therefore, if A takes 1 day, B takes 3 days, the time difference is 2 days.
If the time difference is 2 days, B takes 3 days to complete the work.
Similarly if the time difference is 60 days, then B takes (3/2*60) = 90 days.
Then A takes 90 - 60 = 30 days to complete the work.
It is very simple man.
(1)
Rajender said:
2 decades ago
Please tell me how you have calculated differece of time 2 days.
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