SOLUTION: Can you help me solve the problem? I need this as a guide in solving other problem. A car travels 20 kph faster than a truck. The car covers 480 km in two hours less than the time

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Question 887250: Can you help me solve the problem? I need this as a guide in solving other problem.
A car travels 20 kph faster than a truck. The car covers 480 km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
THANKS.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Can you help me solve the problem? I need this as a guide in solving other problem.
A car travels 20 kph faster than a truck. The car covers 480 km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
THANKS.

Let the speed of the car be S
Then speed of truck is: S - 20
Time taken by car to travel 480 km: 480%2FS
Time taken by truck to travel 480 km: 480%2F%28S+-+20%29
Since the car takes 2 hours less than the truck, to travel 480 km, we can say that: 480%2FS+%2B+2+=+480%2F%28S+-+20%29
480(S - 20) + 2(S)(S - 20) = 480(S) ------- Multiplying by LCD, S(S - 20)
480S+-+9600+%2B+2S%5E2+-+40S+=+480S
2S%5E2+-+480S+%2B+480S+-+40S+-+9600+=+0
2S%5E2+-+40S+-+9600+=+0
2%28S%5E2+-+20S+-+4800%29+=+2%280%29
S%5E2+-+20S+-+4800+=+0
(S - 80)(S + 60) = 0
S = 80 OR S = - 60 (ignore)
S, or speed of car = highlight_green%28highlight_green%2880%29%29 km/h