SOLUTION: A motorcycle traveling at 70 mph overtakes a car traveling at 40 mph that had a 3 hour head start. How far from the starting point are the two vehicles given that they started fro
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Question 931247: A motorcycle traveling at 70 mph overtakes a car traveling at 40 mph that had a 3 hour head start. How far from the starting point are the two vehicles given that they started from the same point? Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! distance car traveled when motorcycle departed:
s = d/t
d = st
d = 40*3
d = 120 miles
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relative speed of two vehicles:
70-40 = 30 mph
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time when overtake occurs after motorcycle departs:
s = d/t
t = d/s
t = 120/30
t = 4 hours
time when overtake occurs after car departs:
t + 3 = 7 hours
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answer:
distance from starting point when overtake occurs:
d = 30*7
d = 210 miles
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