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 15 of 29.
M.Atul said:
1 decade ago
@Sugumaran please read carrefully problem. Though you have got same answer but it doesn't satisfied second condition that differnce in day should be 60 not 120.
Mukunda saini said:
10 years ago
A is thrice as good as B. So A = 3x and B = x.
A is 60 greater than B. So 3x-x = 60.
2x = 60.
x = 30.
A = 90 and B = 30.
1/90+1/30 = 45/2.
Answer: 22 1/2.
A is 60 greater than B. So 3x-x = 60.
2x = 60.
x = 30.
A = 90 and B = 30.
1/90+1/30 = 45/2.
Answer: 22 1/2.
Neena said:
6 years ago
We can simplify it.
Assume if B worked for 90 days and
C worked for 30 days.
B's 1-day work = 1/90.
A's 1-day work = 1/30.
A+B = 4/90 work.
ie, 90/4 = 22.5.
Assume if B worked for 90 days and
C worked for 30 days.
B's 1-day work = 1/90.
A's 1-day work = 1/30.
A+B = 4/90 work.
ie, 90/4 = 22.5.
Bhairus said:
5 years ago
A = 3B;
A time : x-60; B time =x;
In 1 day together work =1/(x-60) +1/x.
And we also know (x-60)/x = 1/3;
From this two got x = 90 and time from eq 1 is 22.5.
A time : x-60; B time =x;
In 1 day together work =1/(x-60) +1/x.
And we also know (x-60)/x = 1/3;
From this two got x = 90 and time from eq 1 is 22.5.
Sridhar said:
1 decade ago
Simple way:
A and B ratio 1:3.
Since A finishes 60 days lesser than be A takes 90 days and B takes 30 days.
So per day calculation (1/90+1/30) = 22.5 days.
A and B ratio 1:3.
Since A finishes 60 days lesser than be A takes 90 days and B takes 30 days.
So per day calculation (1/90+1/30) = 22.5 days.
Astik Mandal said:
4 years ago
A - 30d.
B - 90d.
lcm - 90(total work).
Efficiency of A - 3.
Efficiency of B - 1.
Total Efficiency = 4 total.
work/totalEfficiency=90/4=22.5.
B - 90d.
lcm - 90(total work).
Efficiency of A - 3.
Efficiency of B - 1.
Total Efficiency = 4 total.
work/totalEfficiency=90/4=22.5.
(4)
Balaji said:
7 years ago
Capacities of A:B=3:1.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Balaji said:
7 years ago
Capacities of A:B=3:1.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Balaji said:
7 years ago
Capacities of A:B=3:1.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Balaji said:
7 years ago
Capacities of A:B=3:1.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
Time taken ratio of A:B=1:3.
Difference of ratio in time is 2 = 60 days => A takes 30 days and B takes 90 days => 90/4=22 1/2.
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