Rate Problem Solving

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In math, distance, rate, and time are three important concepts you can use to solve many problems if you know the formula.Distance is the length of space traveled by a moving object or the length measured between two points. Time is the measured or measurable period during which an action, process, or condition exists or continues.Step 1: A problem involving work can be solved using the formula , where T = time working together, A = the time for person A working alone, and B = the time for person B working alone.

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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?

The second train finally caught up with the first train after traveling for three hours. One train left the station and traveled toward its destination at 65 mph.

Later, another train left the station traveling in the opposite direction of the first train at 75 mph.

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.

represents the time that the slower train has been traveling.

You may wish to draw a diagram to show what is happening.

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 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.

How long would it take to fill the pool if both pipes were accidentally left open?


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