Question 1207191
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Secretariat completed the race in 144 seconds, and Twice a Prince finished 
in 148.6 seconds. How far was the race in feet if Secretariat ran 
about 1.7 feet per second faster than Twice a Prince? 
Round answer to the nearest whole number.
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<pre>
Let x be the rate of Twice the Prince (in ft/s);
then the rate of Secretariat is (x+1.7) ft/s.


The distance is the same for both runners, so we can write this equation for the distance

    144*(x+1.7) = 148.6x.


Simplify and find x

    144x + 144*1.7 = 148.6x

    244.8 = 148.6x - 144x

    244.8 = 4.6x

        x = 244.8/4.6 = 53.21739


Thus the rate of Twice the Prince is 53.21739 ft/s and the distance is 148.6*x= 148.6*53.21739 = 7908.1 feet.


<U>ANSWER</U>.  The distance is 7908 feet (rounded to nearest whole number of feet).
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Solved.