# TANCET 2008 Solution : Work Time

This aptitude practice question is a Work Time problem solving question. The question appeared in TANCET 2008 and is an easy question. Concept tested: Framing work time equations when two people work together in parallel to complete a task.

## 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?

- 9
- 18
- 12
- 20
- 16

** Correct Answer** Choice (1). The father takes 9 hours to complete the task.

## Explanatory Answer

The father completes the job in x hours.

Son takes twice as long to finish the job. So, the son will take 2x hours to complete the same job.

In an hour, the father will complete \\frac{1}{x}) of the total job.

In an hour, the son will complete \\frac{1}{2x}) of the total job.

So, if the father and son work together, in an hour they will complete \\frac{1}{x}) + \\frac{1}{2x}) of the job.

i.e., in an hour they will complete \\frac{3}{2x}) of the job.

The question states that they complete the entire task in 6 hours if they work together.

i.e., they complete \\frac{1}{6}^{th}) of the task in an hour.

Equating the two information, we get \\frac{3}{2x}) = \\frac{1}{6})

Cross multiplying and solving for x we get 2x = 18 or x = 9.

'x' is the time taken by the father to complete the task. The father takes 9 hours to complete the job.

The correct answer is Choice (1).

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## XAT TANCET Practice Questions - Listed Topic wise

- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness