# Work Time Practice

This aptitude practice question is a Work Time problem solving question. Concept tested: Time taken by a group of people with different efficiencies to complete a task.

## Question

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

- 13\\frac{1}{3})
- 8\\frac{1}{3})
- 5\\frac{5}{7})
- 7\\frac{5}{7})

** Correct Answer** Choice (3). They will complete the work in 5\\frac{5}{7}) more days.

## Explanatory Answer

Ram completes 60% of the task in 15 days.

i.e., he completes 4% of the task in a day.

Rahim is 50% as efficient as Ram is.

Therefore, Rahim will complete 2% of the task in a day.

Rachel is 50% as efficient as Rahim is.

Therefore, Rachel will complete 1% of the task in a day.

Together, Ram, Rahim and Rachel will complete 4 + 2 + 1 = 7% of the work in a day.

Ram, working alone, had already completed 60% of the task.

They have another 40% of the task to be completed.

Therefore, they will take \\frac{40}{7}) or 5\\frac{5}{7}) more days to complete the task.

The correct answer is Choice (3).

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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