Question 1135240
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<pre>
Let x be the speed of the first train, in miles per hour (mph).

Then the speed of the second train is (x+30) mph, according to the condition.


From 1 pm to 10 pm, the first train moved 9 hours and covered the distance of 9*x miles (recall the formula Distance = Time*Speed (!) )


From 4 pm to 10 pm, the second train moved 6 hours and covered the distance of 6*(x + 30) miles (same "distance" formula).


The distance is the same in both cases - it gives you an equation


    9x = 6*(x+30).


Simplify and solve it for x:


    9x = 6x + 180

    9x - 6x = 180

    3x = 180   ==============>  x = {{{180/30}}} = 60.


<U>Answer</U>.  The first train' speed was 60 mph;  the second train' speed was  60+30 = 90 mph.


<U>CHECK</U>.   9*60 = 540 miles = 6*90.    ! Correct !
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