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:
284 comments Page 20 of 29.
Sanchi said:
1 decade ago
Very simple way.
3A=1B
B takes x days.
3 (x-60) =x
3x-x=180
X dats is B=90, A=30.
Now,
1/90+1/30=22. 5.
3A=1B
B takes x days.
3 (x-60) =x
3x-x=180
X dats is B=90, A=30.
Now,
1/90+1/30=22. 5.
Naresh said:
1 decade ago
1:3.
Total 4 parts.
90/4=22.5 (one part).
Here one part means A's work. Remaining 77.5 belongs to B.
Total 4 parts.
90/4=22.5 (one part).
Here one part means A's work. Remaining 77.5 belongs to B.
Jack said:
8 years ago
Can anyone explain me why the step 3/2*60 used. I couldn't get the logic of finding difference as 2.
TABISH said:
1 decade ago
@sheetal
do not able to understand how you get that formula to calculate the time i.e.
K*X/K^2-1
do not able to understand how you get that formula to calculate the time i.e.
K*X/K^2-1
Priya said:
7 years ago
The solution is;
A = x ,
B = 3x
x = 3x-60
x = 30
A = 30; B = 90;
1/30 + 1/90 = 2/45 = 22.5 days.
A = x ,
B = 3x
x = 3x-60
x = 30
A = 30; B = 90;
1/30 + 1/90 = 2/45 = 22.5 days.
Sumit said:
1 decade ago
If difference of time is 60 days, B takes 3/2 x 60 = 90 days.
Please explain this statement.
Please explain this statement.
Abhijith said:
6 years ago
Can someone provide a solution for this problem using percentages or the efficiency ration ?
Sundar said:
1 decade ago
If difference of time is 60 days 3*60/2 = 90 days.
I can't get this step?
Please explain.
I can't get this step?
Please explain.
Biplab sarkar said:
8 years ago
Here given k=3, n=60.
So formula is -> kn/ (k^2-1) =3*60/ (3^2-1) =180/8=22 1/2 days.
So formula is -> kn/ (k^2-1) =3*60/ (3^2-1) =180/8=22 1/2 days.
Billal Hossain said:
5 years ago
x : 3x.
3x - x = 60,
=> 2x = 60,
=> x = 30,
1/30 + 1/90,
= 4/90.
= 22 (1/2).
3x - x = 60,
=> 2x = 60,
=> x = 30,
1/30 + 1/90,
= 4/90.
= 22 (1/2).
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