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 8 of 19.
Bhuvana said:
9 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.
Malli said:
9 years ago
How 1/6, 1/8, 1/24 converted into 4 : 3 : 1?
Ahamika said:
9 years ago
I still can't understand the solution. Is there any shortcut to find the solution?
K appala naidu said:
9 years ago
A's one day work = 1/6
B's one day work= 1/8
C's one day work = 1/x
A + B + C one day work = 1/3.
1/6 + 1/8 + 1/x = 1/3.
C's one day work is 1/24.
The ratio of A : B : C is 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
For 8 parts 3200 for C's 1 part 3200/8 = 400. So, the answer is 400.
B's one day work= 1/8
C's one day work = 1/x
A + B + C one day work = 1/3.
1/6 + 1/8 + 1/x = 1/3.
C's one day work is 1/24.
The ratio of A : B : C is 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
For 8 parts 3200 for C's 1 part 3200/8 = 400. So, the answer is 400.
Ashish said:
9 years ago
We can also use the lcm method.
Bharath said:
9 years ago
NO need of looking for ratios. Just understand the question and do logically.
A = 6days
B = 8days
C = ?
A + B + C = 3200rupees.
Now we need to find how many days would C take to complete his work.
1/6 + 1/8+ C = 1/3.
C = 1/3 - (1/6 + 1/8).
1/3 - (7/24).
1/24.
So, here we found that C can do 1/24 work in one day, now in 3 days C can do:
3 * 1/24 = 1/8.
Now 1/8 * 3200 gives us the answer.
So, 1/8 * 3200 = 400.
A = 6days
B = 8days
C = ?
A + B + C = 3200rupees.
Now we need to find how many days would C take to complete his work.
1/6 + 1/8+ C = 1/3.
C = 1/3 - (1/6 + 1/8).
1/3 - (7/24).
1/24.
So, here we found that C can do 1/24 work in one day, now in 3 days C can do:
3 * 1/24 = 1/8.
Now 1/8 * 3200 gives us the answer.
So, 1/8 * 3200 = 400.
Nithya said:
10 years ago
Your method is good % easy, Thanks @Pradeep Koney.
Vasanth said:
10 years ago
Another solution :
By ratio their wages 4 : 3 : 1, totally 8parts
(i.e) 4 + 3 + 1 = 8. athe value of one part = 3200/8 = 400.
C part is one so the answer is 400 rupees.
By ratio their wages 4 : 3 : 1, totally 8parts
(i.e) 4 + 3 + 1 = 8. athe value of one part = 3200/8 = 400.
C part is one so the answer is 400 rupees.
Naveen said:
10 years ago
@Pradeep, your method is really superb and very easy to understand. Thank you so much.
RAJNISH JHA said:
10 years ago
Given,
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
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