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.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! 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
|
|
|
