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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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The End

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