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.
Princi said:
7 years ago
What is the need of ratio?
Sai said:
7 years ago
A = 6days.
B = 8days.
A+B+C=3days.
C's no of days required to complete the work.
(1÷6)+(1÷8)+(1÷C)=(1÷3).
Therefore C=24 day's.
Now the ratio of no of days taken by each member to complete the work comes(6:8:24).
But, we know that A is somewhat a fast worker than B and C therefore he must be paid more and C is taking more time he must be paid less,
Now let's considers these people's each day of work ie A=(1÷6), B=(1÷8), C=(1÷24).
Therefore the total units of work=(1÷6)+(1÷8)+(1÷24)=( 1÷3) by taking lcm
Now ,
The total amount to is 3200.
3200/(1÷3)=9600.
Therefore 9600/24 is 400.
B = 8days.
A+B+C=3days.
C's no of days required to complete the work.
(1÷6)+(1÷8)+(1÷C)=(1÷3).
Therefore C=24 day's.
Now the ratio of no of days taken by each member to complete the work comes(6:8:24).
But, we know that A is somewhat a fast worker than B and C therefore he must be paid more and C is taking more time he must be paid less,
Now let's considers these people's each day of work ie A=(1÷6), B=(1÷8), C=(1÷24).
Therefore the total units of work=(1÷6)+(1÷8)+(1÷24)=( 1÷3) by taking lcm
Now ,
The total amount to is 3200.
3200/(1÷3)=9600.
Therefore 9600/24 is 400.
Saran said:
6 years ago
Thanks @Shivani Kumari.
Billal BD said:
6 years ago
1/6+1/8+1/x= 1/3.
=> 1/x= 1/3- 1/6-1/8.
=> 1/x= 1/24,
=> x= 24.
4:3:1.
C's share = Rs. 400.
=> 1/x= 1/3- 1/6-1/8.
=> 1/x= 1/24,
=> x= 24.
4:3:1.
C's share = Rs. 400.
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