<PRE><B>Question 955275</B>
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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