Problem:
Amber has entered a cross country running series. Each race in the series has a time limit by which runners must complete the course in order to qualify for the next race.
The first race is 9 km long and must be completed in 50 minutes.
After Amber runs the first 5 km, her coach informs her she must increase her speed by 2 km/h for the last 4 km in order to finish the race in 50 minutes.
Required:
a. Complete the following chart.
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Distance (km)
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Speed (km/h)
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Time (h)
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First 5 km Section
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Last 4 km Section
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b. Write and solve a rational equation to determine the speed at which Amber needs to run the last 4 km of the race. Convert time in minutes to time in hours.