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:
179 comments Page 11 of 18.
B.indirasouajyaan said:
1 decade ago
The ratio obtained is 4:3:1. Then why did you multiply 3*1/24*3200? we should not multiply with 1?
LEE SOHO said:
2 years ago
@ALL
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
(134)
Ravi said:
1 decade ago
The highest among the denominators is 24..so multiply the ratios by 24..
24/6:24/8:24/24
4:3:1
24/6:24/8:24/24
4:3:1
(1)
Satheesh said:
1 decade ago
What is the need to multiply 3 in last step = 3*1/24*3200 (since we already subtracted (1/3) ?
Tushar said:
8 years ago
C's 1day work=total work-(A'a 1day work+B's1day work).
C's work is=1/3-(1/6+1/8).
It's simple.
C's work is=1/3-(1/6+1/8).
It's simple.
Tabish said:
1 decade ago
Why multiplied by 24 to the A,B,C's one day work as it is the work completed by C in one day?
Hema said:
1 decade ago
Yes, I agree that amount 3200 in the question is not clearly mentioned. Is that for per day?
Pavithra said:
1 decade ago
Can anyone say how the 1/6+1/8 comes as 7/24?
I need the clear explanation of the solution.
I need the clear explanation of the solution.
Bhuvana said:
8 years ago
The LCM of 6,8 and 24.Then,
24/6 = 4
24/8 = 3
24/24 = 1.
So, that the ratio becomes 4:3:1.
24/6 = 4
24/8 = 3
24/24 = 1.
So, that the ratio becomes 4:3:1.
Nagesh said:
8 years ago
Please, Anyone can you help me?
Why we are multiplying with 24 to get the ratios of a:b:c?
Why we are multiplying with 24 to get the ratios of a:b:c?
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