To solve rate word problems, knowledge of solving systems of equations is necessary. Rate word problems include problems dealing with rates, distances, time and wind or water current. Other types of word problems using systems of equations include money word problems and age word problems.
Sample Problems (3)
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One plane leaves New York City for LA going 500 mph. At the same time, a different plane leaves LA for New York City going 650 mph.
A boat traveled 288 miles each way downstream and back. The trip downstream with the water current took 12 hours. The trip upstream against the current took 36 hours.
To keep in shape, Alison walks a 12 mile course at a constant speed. If she doubles her usual speed, she can complete the course in 1½ hours less than her usual speed.