SOLUTION: a car travels 20 kph faster than a truck. the car covers 580 kph in two hours less than the time it takes the truck to travel the same distance how fast does the car travel

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Question 876639: a car travels 20 kph faster than a truck. the car covers 580 kph in two hours less than the time it takes the truck to travel the same distance how fast does the car travel
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
D = rt ...Distance equals rate of speed times time.


Truck's speed is x. Car's speed is x+20.


Truck's time is t. Car's time is t-2.


For the car: 580 = (t-2)*(x+20)


For the truck: 580 = xt.
For the truck: x = 580/t. Plug it into the car equation.


580 = (t-2)* (580/t + 20) = 580+20t - 290/t -40


See image for remainder of calculation.


Car's speed is 1160/9 + 20 = 1160/9 + 180/9 = 1340/9 kph = approximately 148.9 kph