SOLUTION: A cyclist leaves Las Vegas riding at the rate of 18 mph. One hour later, a car leaves Las Vegas going 45 mph in the same direction. How long will it take the car to overtake the cy

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A cyclist leaves Las Vegas riding at the rate of 18 mph. One hour later, a car leaves Las Vegas going 45 mph in the same direction. How long will it take the car to overtake the cy      Log On

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Question 560442: A cyclist leaves Las Vegas riding at the rate of 18 mph. One hour later, a car leaves Las Vegas going 45 mph in the same direction. How long will it take the car to overtake the cyclist?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cyclist leaves Las Vegas riding at the rate of 18 mph.
One hour later, a car leaves Las Vegas going 45 mph in the same direction.
How long will it take the car to overtake the cyclist?
:
Let t = travel time of the car
then
(t+1) = travel time of the bike
:
When car catches bike they will have traveled the same distance
A simple distance equation
:
45t = 18(t+1)