Question

Roberto, Christopher, and Levi are amateur cyclist riding in the 165.1 km long Tour of Cortez bicycle race. Each cyclist is individually timed in the event.
1.Two hours into his race, Roberto has completed 73.4 km.
2. Three hours into his race, Christopher has completed 112.6 km.
3. Three and a half hours into his race, Levi has completed 128.2 km.
4.The cyclist must complete the race in under 260 minutes to qualify for the professional cyclist series for the upcoming year.
Place the cyclist in order from the least average minutes per km to the greatest average minutes per km that they need ride for the remainder of the race to qualify for the professional cyclist series.

Answer 1

Answer:

• Levi
• Christopher
• Roberto

Step-by-step explanation:

I like to work problems involving repetitive calculations using a spreadsheet. The sort function can easily put the results in the appropriate order.

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Here, we need to compute minutes and kilometers remaining for each cyclist, and then divide the former by the latter to find the required timing.

Minutes remaining will be the difference between the qualifying time and the time used so far.

Km remaining will be the difference between the race length and the distance traveled so far.

Required minutes per km will be the ratio of minutes remaining to km remaining.

Levi has the least allowed minutes per km for his remaining distance. Roberto has the most.

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Christopher only has to increase his average speed by about 5% in order to qualify; Levi has the greatest challenge, as he needs about 18% more speed for the rest of the race.