Rate-Time-Distance Problem

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Rate-Time-Distance Problem

• By M. L. 8-23

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5.

• Two jets leave Denver at 900 A.M., one flying
  east at a speed 50 km/h greater than the other,
  which is traveling west. At 1100 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

• Let r the speed of the plane flying west.
• Then the plane flying easts speed will be 50r.
• 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(50r)
west r 2 2r
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Step 3

• Take the information from the chart to create an
  equation.
  
• 2(50r) 2r 2500

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Step 4

• Now solve the equation.
• 2(50r) 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