Rate Problem Solving

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Justin can complete the project by himself in 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours.

How long would it take the triplets to complete the project if they work together?

Example 1 – Walter and Helen are asked to paint a house.

Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours.

How long would it take to paint the house if they worked together?

Step 2: Solve the equation created in the first step.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 4 – One roofer can put a new roof on a house three times faster than another. How long would it take the faster roofer working alone?

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 5 – Triplets, Justin, Jason, and Jacob are working on a school project.

After the first train had traveled for 14 hours, it was 1,960 miles apart from the second train.

"Work" problems usually involve situations such as two people working together to paint a house.