Question 301147
An athlete bicycles an average of 12 mph faster than she runs. She runs 0.8 hours and bicycles for 1.2 hours for a total distance of 30.4 miles. Find her average rate bicycling

let her run at x mph

distance run = 0.8x

she rides at x+12 mph

distance she rides = 1.2 ( x+12)
=1.2x + 14.4

0.8x +1.2x+14.4 = 30.4


2x +14.4 = 30.4

2x=30.4-14.4

2x= 16

x= 8

x=8  running speed

riding speed = 20 mph