SOLUTION: an athlete covered a distance of 57 miles by walking for 2 hours and then riding a bicycle for the remainder of the trip. her rate increased by 10 mph on the bike. if the entire tr

Question 181115: an athlete covered a distance of 57 miles by walking for 2 hours and then riding a bicycle for the remainder of the trip. her rate increased by 10 mph on the bike. if the entire trip took 5 1/2 hours, what was her riding rate?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An athlete covered a distance of 57 miles by walking for 2 hours, and then
riding a bicycle for the remainder of the trip. His rate increased by 10 mph
on the bike. If the entire trip took 5 1/2 hours, what was his riding rate?
:
Let s = the riding rate
then
(s-10) = the walking rate
:
From the given information, he walked 2 hrs, therefore, he biked 3.5 hr
:
Write a distance equation: dist = time * speed
Walk dist + bike dist = 57 mi
2(s-10) + 3.5s = 57
:
2s - 20 + 3.5s = 57
:
5.5s = 57 + 20
s =
s = 14 mph on the bike
:
:
Check solution by finding the distances (14 - 10 = 4 mph walking):
3.5*14 = 49 mi
2 * 4 = 8 mi
-------------
total = 57 mi
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