# SOLUTION: 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

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 Click here to see ALL problems on Mixture Word Problems 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. I know that in a half hour the car would go 100 miles and Thrust SSC can go 381.5. I know 100 is a certain percent, but I just do not know the equations I need. Thanks for your help.Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!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 = 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