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### TANCET 2008 Question and answers : Work Time, Pipes Cistern : Ascent Education TANCET MBA Classes

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# TANCET 2008 Quant Question 4 : Work Time

## Question

A father can do a certain job in x hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the father take to do the job?
1. 9
2. 18
3. 12
4. 20
5. 16

Correct Answer : 9 hours. Choice (1)

The father completes the job in x hours.
So, the son will take 2x hours to complete the same job.

In an hour, the father will complete of the total job.
In an hour, the son will complete of the total job.

So, if the father and son work together, in an hour they will complete + of the job.
i.e., in an hour they will complete of the job.

The question states that they complete the entire task in 6 hours if they work together.
i.e., they complete of the task in an hour.

Equating the two information, we get =
Cross multiplying and solving for x we get 2x = 18 or x = 9.

The father takes 9 hours to complete the job.