SOLUTION: a train and a car are travelling in the same direction towards a bridge. the car has a head start of 43 metres. For every 3 metres the car travels, the train travels 5 metres. How

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Question 494812: a train and a car are travelling in the same direction towards a bridge. the car has a head start of 43 metres. For every 3 metres the car travels, the train travels 5 metres. How far does the train have to travel to reach the bridge first?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a train and a car are travelling in the same direction towards a bridge.
the car has a head start of 43 metres.
For every 3 metres the car travels, the train travels 5 metres.
How far does the train have to travel to reach the bridge first?
:
Let d = distance traveled by the train
:
Write a time equation, time = dist/speed
:
%28%28d%2B43%29%29%2F5 = d%2F3
cross multiply
5d = 3(d+43)
5d = 3d + 129
5d - 2d = 129
2d = 129
d = 129%2F2
d = 64.5 meters, the car and the train will be at the same point
therefore
At 65 meters is the bridge and the train is first