SOLUTION: Mike was racing in a bike marathon. He was 3/8 of the way across a narrow bridge when he heard the Wabash Cannonball train approaching the bridge from behind him at 60 miles per ho
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Question 191930: Mike was racing in a bike marathon. He was 3/8 of the way across a narrow bridge when he heard the Wabash Cannonball train approaching the bridge from behind him at 60 miles per hour. Being an amateur mathematician as well as a marathon biker, Mike calculated that he could just reach either end of the bridge at the same time as the train. How fast was Mike pedaling his bike?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mike was racing in a bike marathon. He was 3/8 of the way across a narrow bridge
when he heard the Wabash Cannonball train approaching the bridge from behind
him at 60 miles per hour. Being an amateur mathematician as well as a marathon
biker, Mike calculated that he could just reach either end of the bridge at the
same time as the train. How fast was Mike pedaling his bike?
:
Let s = speed of the bike
:
Let the bridge length = 8 units (A to B)
bike (X) is 3 units from the left side and 5 units from the right side
:
Let train dist from bridge = d
:
Train-------d---------A=========X===================B-----------
:
Time equation
Train time to A = Bike time to A
=
Cross mult
ds = 180
:
Train time to B = Bike time to B
=
Cross multiply
s(d+8) = 300
ds + 8s = 300
:
Replace ds with 180
180 + 8s = 300
8s = 300 - 180
8s = 120
s =
s = 15 mph speed of the bike
:
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