A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain

Question

A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain distances based on their different speeds. A car travels 180 miles in the same time that a truck travels 120 miles. If the car’s speed is 20 miles per hour faster than the truck’s, find the car’s speed and the truck’s speed.​

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Huyền Thanh 1 year 2021-09-01T20:54:51+00:00 1 Answers 5 views 0

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    2021-09-01T20:56:21+00:00

    Answer:

    • 60 mph and 40 mph

    Step-by-step explanation:

    Let the speed of the car = x and the speed of the truck = y

    We have following equations:

    • 180/x = 120/y
    • x = y + 20

    Simplify the first equation and substitute x:

    • 180y = 120x
    • 2x = 3y
    • 2(y + 20) = 3y
    • 2y + 40 = 3y
    • 3y – 2y = 40
    • y = 40

    Find the value of x:

    • x = 40 + 20 = 60

    Car’s speed   60 mph

    Truck’s speed   40 mph

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