Question 270512
The Thrust SSC is the world's fastest land vehicle.
 Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC.
 The car gets a head start of a half hour.
 If there is unlimited space to race, at what distance will the SSC pass the car? Thrust SSC top speed is 763. 
:
First find out how long it will take for SSC to catch the car
:
Let t = travel time of the SSC
then
(t+.5) = travel time of the car
:
When this occurs they will have traveled the same dist.
Write a distance equation; dist = speed * time
:
SSC dist - car dist
763t = 200(t+.5)
763t = 200t + 100
763t - 200t = 100
563t = 100
t = {{{100/563}}}
t = .17762 hrs
:
How far can the SSC travel in .17762 hrs
.17762 * 763 = 135.5 mi
:
If we did this right, the car should have traveled the same dist
200(.17762 + .5) = 135.5 mi also