SOLUTION: Joe rides his bike 10 minutes to his friends house then leaves his bike and walks 15 minutes to the Library. Joe rides his bike 10km/h faster than he walks. If the enter trip is 2.

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Question 507444: Joe rides his bike 10 minutes to his friends house then leaves his bike and walks 15 minutes to the Library. Joe rides his bike 10km/h faster than he walks. If the enter trip is 2.75km how far is it from his friends house to the Library?
Answer by lwsshak3(11628) About Me  (Show Source):
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Joe rides his bike 10 minutes to his friends house then leaves his bike and walks 15 minutes to the Library. Joe rides his bike 10km/h faster than he walks. If the enter trip is 2.75km how far is it from his friends house to the Library?
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let x=Joe's walking speed
x+10=Joe's bike speed
distance=travel time*speed
10 min=10/60 hr=1/6 hr
15 min=15/60 hr=1/4 hr
bike distance+walking distance=2.75 km
(1/6)(x+10)+(1/4)(x)=2.75
LCD:12
2x+20+3x=33
5x=13
x=13/5 km/hr (Joe's walking speed
ans:
distance from his friends house to the Library
=speed*travel time=13/5*1/4=.65km