Aptitude - Time and Work
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- Time and Work - Formulas
- Time and Work - General Questions
- Time and Work - Data Sufficiency 1
- Time and Work - Data Sufficiency 2
- Time and Work - Data Sufficiency 3
A's 1 day's work = | 1 | ; |
15 |
B's 1 day's work = | 1 | ; |
20 |
(A + B)'s 1 day's work = | 1 | + | 1 | = | 7 | . | ||
15 | 20 | 60 |
(A + B)'s 4 day's work = | 7 | x 4 | = | 7 | . | ||
60 | 15 |
Therefore, Remaining work = | 1 - | 7 | = | 8 | . | ||
15 | 15 |
(A + B + C)'s 1 day's work = | 1 | , |
4 |
A's 1 day's work = | 1 | , |
16 |
B's 1 day's work = | 1 | . |
12 |
C's 1 day's work = | 1 | - | 1 | + | 1 | = | 1 | - | 7 | = | 5 | . | ||||
4 | 16 | 12 | 4 | 48 | 48 |
So, C alone can do the work in | 48 | = 9 | 3 | days. |
5 | 5 |
A's 2 day's work = | 1 | x 2 | = | 1 | . | ||
20 | 10 |
(A + B + C)'s 1 day's work = | 1 | + | 1 | + | 1 | = | 6 | = | 1 | . | ||
20 | 30 | 60 | 60 | 10 |
Work done in 3 days = | 1 | + | 1 | = | 1 | . | ||
10 | 10 | 5 |
Now, | 1 | work is done in 3 days. |
5 |
Whole work will be done in (3 x 5) = 15 days.
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 |
C's 1 day's work = | 1 | - | 1 | + | 1 | = | 1 | - | 7 | = | 1 | . | ||
3 | 6 | 8 | 3 | 24 | 24 |
A's wages : B's wages : C's wages = | 1 | : | 1 | : | 1 | = 4 : 3 : 1. |
6 | 8 | 24 |
C's share (for 3 days) = Rs. | 3 x | 1 | x 3200 | = Rs. 400. | ||
24 |