SOLUTION: A cars covers 90 kilometers one hour faster than it takes a slower car to cover the same distance. The speed of the faster car is 24 kilometers per hour more than the speed of the

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Question 989479: A cars covers 90 kilometers one hour faster than it takes a slower car to cover the same distance. The speed of the faster car is 24 kilometers per hour more than the speed of the slower car. How fast is the slower car moving?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Rate, time, and distance are related as RT=D.
CAR      speed     time    distance
FAST     r+24      t-1      90
SLOW      r         t       90

System of Equations
system%28%28r%2B24%29%28t-1%29=90%2Crt=90%29

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

A cars covers 90 kilometers one hour faster than it takes a slower car to cover the same distance. The speed of the faster car is 24 kilometers per hour more than the speed of the slower car. How fast is the slower car moving?
Let speed of slower car be S
Then speed of faster car is: S + 24
We then get: 90%2FS+=+90%2F%28S+%2B+24%29+%2B+1
90(S + 24) = 90S + S(S + 24) -------- Multiplying by LCD, S(S + 24)
90S+%2B+2160+=+90S+%2B+S%5E2+%2B+24S
S%5E2+%2B+90S+%2B+24S+-+90S+-+2160+=+0
S%5E2+%2B+24S+-+2160+=+0
(S - 36)(S + 60) = 0
S, or speed of slower car = highlight_green%2836%29 mph