Question 955275: The top speed of a Dodge Charger SRT8 is 33 mph less than the top speed of a Chevorlet Corvette z06. At their top speeds, a Corvette can travel 6 miles in the same time that a Charger can travel 5 miles. Find the top speed of each car.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let d = speed of the charger.
let c = speed of the corvetter.
d = c - 133
this means that the speed of the charger is 33 miles per hour less than the speed of the corvette.
rate * time = distance
for the charger, that becomes d * t = 5
for the corvette, that becomes c * t = 6
since d = c - 33, then for the charger, that becomes (c - 33) * t = 5
solve both equations for t to get:
t = 5 / (c - 33) for the charger.
t = 6 / c for the corvette.
substitute 5 / c - 33) for t in the second equation and you get:
5 / (c - 33) = 6 / c
cross multiply to get:
5 * c = 6 * (c - 33)
simplify to get:
5 * c = 6 * c - 6 * 33
simplify further to get:
5 * c = 6 * c - 198
solve for c to get c = 198
solve for d to get d = 198 - 33 = 165
top speed for the corvette is 198 miles per hour.
top speed for the charger is 165 miles per hour.
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