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:
185 comments Page 13 of 19.
Karan k said:
4 years ago
A+B = 1/6+1/8 = 7/24.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
(150)
Raj Pathak said:
1 decade ago
Hope this will change. A, B and C total 3200 not like A and B as mentioned above.
Satyakrishna said:
1 decade ago
Is there any shortcut method to find this, by directly substituting the values?
Sangeethavimalraj said:
1 decade ago
Total amount is 3200,
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Aatif said:
2 decades ago
1/24 is the work done by C in one day. For three days "3" is used.
Muhammad Akmal said:
1 decade ago
Please explain that how (1/3 -7/24) = C's one day's work?
What is the logic?
What is the logic?
Mrinmoy Saha said:
5 years ago
3(1/6+1/8+1/x) = 1
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
(6)
Hitesh said:
5 years ago
@Pradeep Koney.
It's very simply elaborated and easy to understand. Thanks.
It's very simply elaborated and easy to understand. Thanks.
(5)
Sandy said:
2 decades ago
@Sandy that is c's one day work.. ok.... @dhanush has clearly explained...
Prithivi said:
1 decade ago
Can any one say how was the ratio can be calculated those three a, b, c?
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C's share (for 3 days) = Rs.