an athlete jogged for 20 minutes at a constant speed Then sh

an athlete jogged for 20 minutes at a constant speed. Then she got on a bike and rode for 7 minutes in the opposite direction at twice her running speed. The athlete then reversed directions again and walked for 3 minutes at 40% of her initial running speed. After 30 minutes, the athlete found herself 3456 feet from her starting point. Find the athlete\'s three speeds.

Solution

20(x) - 7(2x) + 3(.4x) = 3456

7.2x = 3456

x = 480 ft/min ___ about 5.5 mph

2x = 960 ft/min

.4x = 192 ft/min