Rate Problem Solving

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

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

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

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?

You will also apply the formula that solves distance, rate, and time, which is There are many examples where you might use this formula in real life.

For example, if you know the time and rate a person is traveling on a train, you can quickly calculate how far he traveled.represents the time that the slower train has been traveling.You may wish to draw a diagram to show what is happening.Two hours later, another train leaves from Deb's house on the track beside or parallel to the first train but it travels at 100 mph.How far away from Deb's house will the faster train pass the other train?And if you know the time and distance a passenger traveled on a plane, you could quickly figure the distance she traveled simply by reconfiguring the formula.For example, suppose a train leaves Deb's house and travels at 50 mph.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.Organize the information you have in a chart format if you haven't solved these types of problems before.Remember the formula: When identifying the parts of the word problem, distance is typically given in units of miles, meters, kilometers, or inches.