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:
292 comments Page 16 of 30.
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.
Hemanthkumar said:
3 weeks ago
Efficiency of A: B = 3:1.
TIMES RATIO = 1 : 3.
2 PARTS - 60.
And 1 PART - 30.
So, Total work done by both = A's effi * time/both efficiency.
30 * 3/4 = 22.5.
TIMES RATIO = 1 : 3.
2 PARTS - 60.
And 1 PART - 30.
So, Total work done by both = A's effi * time/both efficiency.
30 * 3/4 = 22.5.
Astik Mandal said:
5 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:
8 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:
8 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:
8 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:
8 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.
SWETHA said:
8 years ago
Since A finishes the job in 60 days less, from (ii) we get: 3X - X = 60.
A=30 B=90,
A+B=1/30+1/90.
=2/45.
A and B together can do the work in 45/2=22 1/2.
A=30 B=90,
A+B=1/30+1/90.
=2/45.
A and B together can do the work in 45/2=22 1/2.
Manohar said:
7 years ago
A+B = 1/60 + 1/180.
A is three times more efficient than B.
(So that if a takes 60 days then B takes 180 days).
And therefore;
2(A+B) = 180/4 = 22 * 1/2.
A is three times more efficient than B.
(So that if a takes 60 days then B takes 180 days).
And therefore;
2(A+B) = 180/4 = 22 * 1/2.
Neeraj said:
1 decade ago
Shortcut:
A & B together will complete in 6/14/8 = 24/7 days = 3 3/7 days.
Work completed in 3 days. So C's share 3/7 days.
Now 3200/24/7*3/7 = 400.
A & B together will complete in 6/14/8 = 24/7 days = 3 3/7 days.
Work completed in 3 days. So C's share 3/7 days.
Now 3200/24/7*3/7 = 400.
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