SOLUTION: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.

Algebra ->  Rational-functions -> SOLUTION: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.       Log On


   

Question 1186407: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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A plane can fly 1190 miles in the same time as it takes a car to go 280 miles.
If the car travels 130 mph slower than the plane, find the speed of the plane.
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Let x be the speed of the plane, in miles per hour.

Then the speed of the car is  (x-130) mph, according to the condition.


Next, you write the "time" equation, following the problem's description


    1190%2Fx = 280%2F%28x-130%29.


To solve it, cross multiply and simplify


    1190*(x-130) = 280x

      17*(x-130) = 4x     <<<---===  after dividing both sides by 70

      17x - 17*130 = 4x

      17x - 4x = 17*130

         13x   = 17*130

           x   = 17*10 = 170.


ANSWER.  The plane speed is 170 miles per hour.


CHECK.  The plane time  is  1190%2F170 = 7 hours.

        The car time  is  280%2F%28170-130%29 = 280%2F40 = 7 hours.   ! The same time.  Correct !

Solved.