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   GMAT Word Problems Guide
Ch 1: Word Problem Strategies
Ch 2: 5-Step Method
Ch 3: Functions & Symbols
Ch 4: Progressions & Sequences
Ch 5: Percentages
Ch 6: Interest
Ch 7: Ratio & Proportion
Ch 8: Uniform Motion
Ch 9: Work & Rate
Ch 10: Grouping & Counting
Ch 11: Data Interpretation
Ch 12: Averages & Median
 
 

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   Word Problems & Strategy Chapter: Work
Table of Contents  
 
The amount of work, W, accomplished in time, T, depends on the rate, R, at which the work is being accomplished. Work problems are quite similar to the problems of uniform motion. The equation we use is

W = RT

Try to solve the question by determining the rate per time period (usually per hour or per minute). The rate, R, is most often expressed as the job to do divided by the time, where W usually equals one completed job.

 
Examples of
Work Questions
A tractor plows 1/10 of a field each hour; the job is one field, so the rate is 1/10 of a field per hour.
If it takes x tractors to do one job in 1 hour, then each tractor works at a rate of 1/x of the job per hour.

If it takes x tractors 4 hours to do one job, then each tractor works at one quarter of the previous rate, or at the rate of 1/4x of the job per hour.

In general, if it takes x tractors y hours to do one job, the rate that each tractor works is 1/(x × y) of the job per hour.


Example 1

It takes 3 men 8 hours to paint a house. How long will it take 5 men to paint the same house?





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  Contents of Word Problems Chapter: Table of Contents
Chapter 1: Word Problems & Strategies
  Chapter 2: 5-Step Method
  Chapter 3: Functions & Symbols
  Chapter 4: Progressions & Sequences
  Chapter 5: Percentages
  Chapter 6: Interest, Discount & Markups
  Chapter 7:
Ratio & Proportion
  Chapter 8: Uniform Motion
  Chapter 9: Work & Rate
  Chapter 10:
Grouping & Counting
  Chapter 11: Data Interpretation
  Chapter 12: Averages & Mean
 
Grouping & Counting

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