SOLUTION: A car travels 30 kph faster than a truck . The car covers 540 km in three hours less than the time it takes to travel the same distance how fast does the car travel?

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Question 891626: A car travels 30 kph faster than a truck . The car covers 540 km in three hours less than the time it takes to travel the same distance how fast does the car travel?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A car travels 30 kph faster than a truck . The car covers 540 km in three hours less than the time it takes to travel the same distance how fast does the car travel?
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let x=speed of truck
x+30=speed of car
540%2Fx-540%2F%28x%2B30%29=3
lcd:x(x+30)
540(x+30)-540x=3x(x+30)
540x+16200-540x=3x^2+90x
3x^2+90x-16200=0
x^2+30x-5400=0
(x+90)(x-60)=0
x=-90 (reject)
or
x=60
x+30=90
how fast does the car travel? 90 km/hr