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:
281 comments Page 1 of 29.
Rajender said:
2 decades ago
Please tell me how you have calculated differece of time 2 days.
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)
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.
Bharathi said:
2 decades ago
Dear Friends,
In this question atlast we got (a+b)'s 1 day work=2/45.
How it is changed to be an A and B are together can do the work in 45/2.
In this question atlast we got (a+b)'s 1 day work=2/45.
How it is changed to be an A and B are together can do the work in 45/2.
Nagu said:
2 decades ago
Hi Bharathi,
If A takes 10 days to complete a work means
A's one day work is 1/10
so complete this work A takes 10/1 days is same as 10 days
Sat the same way (A + B)'s 1 day's work 2/45 means
They will take 45/2 = 22 1/2 days
I think you got my point
have a nice day
If A takes 10 days to complete a work means
A's one day work is 1/10
so complete this work A takes 10/1 days is same as 10 days
Sat the same way (A + B)'s 1 day's work 2/45 means
They will take 45/2 = 22 1/2 days
I think you got my point
have a nice day
SHEETAL said:
2 decades ago
Hi Guys,
Don't be confused in data given in question.
I have one short cut to solve such kind of question.
A is K times as good a worker as B & takes X days less than B to finish the work. Then the amount of time required by A & B working together is K * X / K'S SQUARE - 1.
SO IN QUESTION K IS 3. X IS 60. SO PUTTING THE VALUES IN ABOVE MENTIONED FORMULA.
K * X / K'S SQUARE - 1
=3 * 60 / 9 - 1
=3 * 60 / 8
=180 / 8
=22.5 DAYS
AS MENTIONED OPTION B.
I HOPE U WILL UNDERSTAND THIS THING & WILL APPLY IN QUESTION BASED ON THIS.
All the best. Have nice day!
Don't be confused in data given in question.
I have one short cut to solve such kind of question.
A is K times as good a worker as B & takes X days less than B to finish the work. Then the amount of time required by A & B working together is K * X / K'S SQUARE - 1.
SO IN QUESTION K IS 3. X IS 60. SO PUTTING THE VALUES IN ABOVE MENTIONED FORMULA.
K * X / K'S SQUARE - 1
=3 * 60 / 9 - 1
=3 * 60 / 8
=180 / 8
=22.5 DAYS
AS MENTIONED OPTION B.
I HOPE U WILL UNDERSTAND THIS THING & WILL APPLY IN QUESTION BASED ON THIS.
All the best. Have nice day!
Sangeetha said:
2 decades ago
Oh thanks sheetal
Indhu said:
1 decade ago
Hi friends,.
Though content is big it is easy to understand.
Work done by A as compared to B=3:1.
Time taken by A as compared to B=1:3.
So, time difference is 2.
A will finish the work 60 days lesser than B.
Therefore time difference is 60.
Time taken for A = 60/2 = 30.
Hence time taken for B=3* time taken by A = 90.
If A+B can do a piece of work in n days, then (A+B) 's 1day's work=1/n.
Working together (A+B) 's one day work = (1/30) + (1/90) =2/45.
If (A+B) 's 1day's work=1/n, then A+B can finish the work in n days.
Therefore total time taken = 45/2= 22. 5 Days.
Though content is big it is easy to understand.
Work done by A as compared to B=3:1.
Time taken by A as compared to B=1:3.
So, time difference is 2.
A will finish the work 60 days lesser than B.
Therefore time difference is 60.
Time taken for A = 60/2 = 30.
Hence time taken for B=3* time taken by A = 90.
If A+B can do a piece of work in n days, then (A+B) 's 1day's work=1/n.
Working together (A+B) 's one day work = (1/30) + (1/90) =2/45.
If (A+B) 's 1day's work=1/n, then A+B can finish the work in n days.
Therefore total time taken = 45/2= 22. 5 Days.
(1)
Prashant said:
1 decade ago
Suppose B takes x days to finish the work and then according to question A will take (60-x) days to work. in question the ratio of time taken is 1:3 therefore
1/3= (60-x)/x
x=45
So A can complete the work in (60-x)=(60-45)=15 days
So (A+B) one day's work
=(1/15 + 1/45)
=4/45
So (A+B) complete the work in 45/4 = 11 1/4 days.
1/3= (60-x)/x
x=45
So A can complete the work in (60-x)=(60-45)=15 days
So (A+B) one day's work
=(1/15 + 1/45)
=4/45
So (A+B) complete the work in 45/4 = 11 1/4 days.
Sugumaran said:
1 decade ago
Ratio of time taken=1:3
A finish the work in 60 days and B in x days.
1:3::60:x
x=180 days
So,
A and B 1'days work 1/60+1/180=45 days
Is it correct or not?
A finish the work in 60 days and B in x days.
1:3::60:x
x=180 days
So,
A and B 1'days work 1/60+1/180=45 days
Is it correct or not?
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