Question 1186407
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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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<pre>
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/x}}} = {{{280/(x-130)}}}.


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.


<U>ANSWER</U>.  The plane speed is 170 miles per hour.


<U>CHECK</U>.  The plane time  is  {{{1190/170}}} = 7 hours.

        The car time  is  {{{280/(170-130)}}} = {{{280/40}}} = 7 hours.   ! The same time.  Correct !
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Solved.