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

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

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.

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

Step 2 LLet 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

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

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

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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