|
|
Time and Work - Quant/Math - CAT 2009
Question 4 the day:
June 13, 2003
The question for the day is from the topic of Time and Work.
- X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
| (1) |
Rs. 360 |
| |
(2) |
Rs. 120 |
| (3) |
Rs. 240 |
| |
(4) |
Rs. 300 |
Correct Answer - (2)
Solution:
In one day X can finish 1/15th of the work.
In one day Y can finish 1/10th of the work.
Let us say that in one day Z can finish 1/Zth of the work.
When all the three work together in one day they can finish 1/15 + 1/10 + 1/Z = 1/5th of the work.
Therefore, 1/Z = 1/30.
Ratio of their efficiencies = 1/15: 1/10: 1/30 = 2: 3: 1.Therefore Z receives 1/6th of the total money.
According to their efficiencies money is divided as 240: 360: 120.
Hence, the share of Z = Rs. 120.
|
|
|
|
