Question 277425
Each morning, Ron Lucky takes his horse, beauty for a ride on Pfeiffer Beach in Big Sur, California.He typically rides Beauty for 5.4 miles, then walks Beauty 2.3 miles. His speed when riding is 4.2 times his speed when walking. If his total outing takes 1.5 hours, find the rate at which he walks Beauty.

Let ron walk at x mph

riding speed is 4.2x

Distance walked is 2.3 miles

Distance of ride = 5.4 miles

time of walking = 2.3/x.
Time riding = 5.4/ 4.2x

2.3 / x  + 5.4 /4.2x = 1.5

4.2*2.3 +5.4 = 4.2x *1.5

9.66 +5.4 = 6.3x

15.06 = 6.3x
x=2.39 mph is the speed he walks with beauty