SOLUTION: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph. If the car had a 1-hour head start, how far from the starting point does the bus overtake the car
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph. If the car had a 1-hour head start, how far from the starting point does the bus overtake the car
Log On
Question 224349: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph. If the car had a 1-hour head start, how far from the starting point does the bus overtake the car? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph.
If the car had a 1-hour head start, how far from the starting point does the bus overtake the car?
:
Find the time required by the car to catch up to the bus, then find the distance.
:
Let t = travel time of the car
then
(t+1) = travel time of the bus (on the road 1 hr longer)
:
When the car catches up with the bus, they will have traveled the same distance.
write a distance equation: Dist = speed * time
:
Car dist = bus dist
60t = 45(t+1)
60t = 45t + 45
60t - 45t = 45
15t = 45
t =
t = 3 hrs, travel time of the car
:
Find the dist
60 * 3 = 180 mi from the starting point
:
Check solution using the bus which traveled 1 hr longer
45 * 4 = 180 mi, confirms our solution
