An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.

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Answer:

Step-by-step explanation:

150 mile by car            x mph

630 mile by plane      3x mph

Total travel time equal 8 hours

    150 / x     mile / (mile / hour)   = hour

    630 / 3x  mile / (mile / hour)   = hour

    150/x + 630/3x  = 8 hours

    450/3x + 630/3x = 8 hours

    450  + 630  = 8(3x)  = 24x

         1080  =  24x

             45  =  x    the rate of the car is 45 mph