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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
(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 = .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