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Rate-Time-Distance Problem By M. L. 8-23

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5. Two jets leave Denver at 9:00 A.M., one flying east at a speed 50 km/h greater than the other, which is traveling west. At 11:00 A.M. the planes are 2500 km apart. Find their speeds.

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Step 1 Identify what the problem is asking you to find. It is asking you to find the speed of each plane.

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Step 2 LLet r =the speed of the plane flying west. Then the plane flying east’s speed will be 50+r. Make a chart. Notice that the time for both planes will be 2h because there is a 2 hour difference between 9 and 11. Rate X Time= Distance east 50 +r 2 2(50+r) west r 2 2r

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Step 3 Take the information from the chart to create an equation. 2(50+r) + 2r = 2500

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Step 4 Now solve the equation. 2(50+r) + 2r = 2500 100 + 2r + 2r = 2500 100 + 4r = 2500 4r = 2400 r = 600 west speed 50 + r = 650 east speed

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Step 5 Check: In 2h the plane traveling west will travel 600 X 2 = 1200 km and the plane traveling east will travel 650 X 2 = 1300 km. 1200 + 1300 = 2500 km The plane traveling east traveled at 650 km/h and the one traveling west traveled at 600 km/h.

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You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

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