Word Problems: Age & Work
Test your knowledge of age and work-rate word problems — two of the most common algebra problem types, from family ages to workers finishing a job together.
Questions cover setting up age relationships as equations, combining individual work rates, and problems involving pipes filling and draining at the same time.
These problems reward careful setup over quick guessing — see how well you translate words into equations.
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Sample questions3 of 13 shown
Q1
Sarah is 5 years older than Tom. In 3 years, Sarah will be twice as old as Tom. How old is Tom now?
Q2
If worker A can complete a job in 6 hours and worker B can complete the same job in 8 hours, how long will it take them working together?
Q3
Which of the following statements are true about work rate problems? (Select all that apply)
What This Quiz Covers
- Setting up age relationship equations
- Combining work rates when working together
- Pipe filling and draining problems
- Age differences that stay constant over time
- Work rate as a fraction of a job per hour
- Solving for an unknown worker's time
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