Roberto, Christopher, and Joe are amateur cyclist riding in the 165.1 km long  Tour of Cortez bicycle race. Each cyclist is individually timed in the event.

Two hours into his race, Roberto has completed 73.4 km.

Three hours into his race, Christopher has completed 112.6 km.

Three and a half hours into his race, Joe has completed 128.2 km.

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.