Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 5)
5.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Answer: Option
Explanation:
| 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 |
Discussion:
184 comments Page 19 of 19.
Keerthana S said:
2 months ago
See,
I hope everyone gets dout on how 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
So first consider this 1/6:1/8:1/24
LCM will be 24 so, then
1/6 × 24 = 4.
1/8 × 24 = 3.
1/24 × 24 = 1.
So, it's 4 : 3 : 1.
I hope everyone gets dout on how 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
So first consider this 1/6:1/8:1/24
LCM will be 24 so, then
1/6 × 24 = 4.
1/8 × 24 = 3.
1/24 × 24 = 1.
So, it's 4 : 3 : 1.
(5)
Ganesh said:
1 month ago
Here A work is 6days.
B work is 8 days
Together combined work is 3 days right?
So now total work =LCM of 6, 8, 3 = 24.
So A efficiency or one day of work is 24/6 = 4,
B's efficiency or one day work is 24/8 = 3,
A + B + Cs one day work is 24/3 = 8.
So, we want only C one day of work.
We know;
A + B + C = 8, also know that A is 4, B is 3.
4 + 3 + C = 8,
C = 8 - 7 C's one day work is 1.
Now the total money is 32000.
A + B + C together one day work is 8(see above).
So 32000/8=400.
Here, A part is 4, so 4 * 400 = 1600,
B part is 3, so 3 * 400 = 1200,
C part is 1 * 400 = 400
Asking C part,
So, C get 400rupees.
B work is 8 days
Together combined work is 3 days right?
So now total work =LCM of 6, 8, 3 = 24.
So A efficiency or one day of work is 24/6 = 4,
B's efficiency or one day work is 24/8 = 3,
A + B + Cs one day work is 24/3 = 8.
So, we want only C one day of work.
We know;
A + B + C = 8, also know that A is 4, B is 3.
4 + 3 + C = 8,
C = 8 - 7 C's one day work is 1.
Now the total money is 32000.
A + B + C together one day work is 8(see above).
So 32000/8=400.
Here, A part is 4, so 4 * 400 = 1600,
B part is 3, so 3 * 400 = 1200,
C part is 1 * 400 = 400
Asking C part,
So, C get 400rupees.
(6)
Ahin said:
6 days ago
The easiest solution to this question is to find the efficiency of a + b + c - (a + b). You would be getting 1 as c's efficiency.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
(1)
Satya Ranjan Sethy said:
4 days ago
Work done by A in one day = 1/6.
Like this of B = 1/8.
The work done by both A and B is 1/6 + 1/8 = 7/24.
3 days work of A and B is 3 * 7/24 = 7/8.
A and B complete 7 parts (for 7/8) of the total work (as we consider the total work is 1),
So, C does 1/8 (which means 1 part of the total work)
So 3200/8 = 400(for each part),
c will be paid 400.
Like this of B = 1/8.
The work done by both A and B is 1/6 + 1/8 = 7/24.
3 days work of A and B is 3 * 7/24 = 7/8.
A and B complete 7 parts (for 7/8) of the total work (as we consider the total work is 1),
So, C does 1/8 (which means 1 part of the total work)
So 3200/8 = 400(for each part),
c will be paid 400.
(1)
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