# Work Time Practice: Word problem

This aptitude practice question in Work Time and pipes cisterns is a problem solving question. Concept tested: Framing equations for work time and solving those equations. A word problem in rates.

## Question

**Concepts Covered**1. How to frame equations for work time questions?

2. Solving simple equations 2 concepts

Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3^{rd} day, how long will it take for them to complete the job?

- 12 days
- 5 days
- 15 days
- 10 days

** Correct Answer** Choice (3). They will complete the work in 15 days

## Explanatory Answer

Shyam completes the job in 20 days. So, Shyam does \\frac{1}{20})th of the job in a day.

Ram completes the job in 30 days. So, Ram does \\frac{1}{30})th of the job in a day.

Singhal completes the job in 60 days. So, Singhal does \\frac{1}{60})th of the job in a day.

As Shyam is helped by Ram and Singhal every third day, Shyam works for 3 days while Ram and Singhal work for 1 day in every 3 days.

If in 1 day Shyam completes \\frac{1}{20})th of the job, in 3 days he will complete \\frac{3}{20})th of the job.

Therefore, the amount of work done in 3 days by Shyam, Ram and Singhal = \\frac{3}{20}) + \\frac{1}{30}) + \\frac{1}{60})

= \\frac{9 + 2 + 1}{60}) = \\frac{12}{60}) = \\frac {1}{5}^{th}) of the job in 3 days.

Hence, it will take them 5 times the amount of time = 3 * 5 = 15 days to complete the entire job.

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