Question

An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 14 minutes. It takes 42 minutes to cover the same distance when she walks. If her jogging rate is 4 mph faster than her walking​ rate, find the speed at which she jogs.

The athlete jogs at enter your response here
The athlete jogs at mph.

Answer 1

Let's assume that the athlete's walking speed is x miles per hour. Then, her jogging speed would be (x + 4) miles per hour.

We know that the athlete covers the same distance in 14 minutes (0.2333 hours) when jogging and in 42 minutes (0.7 hours) when walking.

Distance covered when jogging = Distance covered when walking

Speed when jogging × time taken to jog = Speed when walking × time taken to walk

(x + 4) × 0.2333 = x × 0.7

0.2333x + 0.9332 = 0.7x

0.4667x = 0.9332

x = 2 (approx.)

Therefore, the athlete's walking speed is 2 miles per hour, and her jogging speed is 6 miles per hour (2 + 4).