SOLUTION: a car going 60 mph overtakes a bus traveling at 45 mph that had a 2 hour head start. How far from the starting point are the vehicles??

Question 218891: a car going 60 mph overtakes a bus traveling at 45 mph that had a 2 hour head start. How far from the starting point are the vehicles??
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a car going 60 mph overtakes a bus traveling at 45 mph that had a 2 hour head start.
How far from the starting point are the vehicles??
:
Let t = travel time of the car
then
(t+2) = travel time of the bus
:
When the car overtakes the bus they will have traveled the same distance.
Write a distance equation: Dist = speed * time
:
60t = 45(t+2)
60t = 45t + 90
60t - 45t = 90
15t = 90
t =
t = 6 hrs travel time of the car
:
Find the distance:
60 * 6 = 360 mi from starting time
:
Check solution by finding the distance of the bus
45(6+2) = 360 mi
RELATED QUESTIONS
A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph. If the (answered by ankor@dixie-net.com)

A motorcycle traveling at 70 mph overtakes a car traveling at 40 mph that had a 3 hour... (answered by TimothyLamb)

A car traveling at 45 mph overtakes a cyclist who, riding at 20 mph, had a 2-hour head... (answered by ikleyn,greenestamps,MathTherapy)

OK - here's the problem. A motorcycle traveling at 60mph overtakes a car traveling at 40 (answered by Paul)

A plane traveling 135 mph overtakes a speeding car traveling 75 mph, in the same... (answered by mananth)

A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that... (answered by stanbon)

A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that... (answered by edjones)

A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that... (answered by stanbon)

A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that... (answered by fractalier)