Question 297096
After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a repair shop. The cyclist rate was 4 times faster than the walking rate. If the time spend on the cycling and walking was 5 hours, at what rate was the cyclist riding?

let walking rate x

cycling rate will be 4x

time taken to ride 40 miles = 40/4x

time taken to walk 5 miles = 5/x

the total time taken was 5 hours 

40/4x + 5/x = 5

40+20 =20x

60=20x

x=3 mph the walking rate

riding rate = 4x= 12 mph