CAT Sample Questions - Question 4 the day : July 07, 2004
The question for the day is from the topic Work and Time..
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
| (1) |
18 days
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(2) |
27 days
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| (3) |
26.67 days
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(4) |
16 days
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Correct choice - (1) Correct Answer -(18 days)
Explanatory Answer
If A can do complete a project in 20 days, then A will complete  th of the project in a day.
Similarly, B will complete  th of the project in a day.
Let the total number of days taken to complete the project be x days.
Then, B would have worked for all x days, while A would have worked for (x – 10) days.
Therefore, A would have completed  th of the project and B would have complete  th of the project.
i.e., 
Solving for x, we get x = 18.
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