SOLUTION: A car can make a 200 mile trip in the same time that a bike can make a 60 mile trip. If the car travels 35 mph faster than the bike, how long does it take the bike to make the [200

Question 821651: A car can make a 200 mile trip in the same time that a bike can make a 60 mile trip. If the car travels 35 mph faster than the bike, how long does it take the bike to make the [200 mile] trip?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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s = d / t
t = d / s
---
car:
T = 200/(s + 35)
---
bike:
T = 60/s
---
bike speed:
200/(s + 35) = 60/s
200/(s + 35) - 60/s = 0
200s/s(s + 35) - 60(s + 35)/s(s + 35) = 0
200s - 60(s + 35) = 0s(s + 35)
200s - 60s - 2100 = 0
140s - 2100 = 0
140s = 2100
s = 15 mph
---
bike trip time:
t = d / s
t = 200 / 15
t = 13.333333
---
answer:
the bike makes the 200 mile trip in 13 hours and 20 minutes
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