Question 1207191
<pre>
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.

Let the distance, in feet, be D
Then Secretariat's speed = {{{D/144}}}
Also, Twice a Prince's speed = {{{D/148.6}}}
Since Secretariat's speed was 1.7 seconds faster than Twice a Prince's, we get the 
following SPEED equation: {{{matrix(1,3, D/144, "=", D/148.6 + 1.7)}}}
                     148.6D = 144D + 144(148.6)(1.7) ----- Multiplying by LCD, 144(148.6)
              148.6D - 144D = 144(148.6)(1.7)
                       4.6D = 144(148.6)(1.7)
<font color = red><font size = 4><b>Distance of race</font></font></b>, or {{{highlight_green(matrix(1,8, D, "=", (144(148.6)(1.7))/4.6, "=", "7908.1043,", or, highlight(matrix(1,2, "7,908.1", feet)), matrix(1,6, "(to", nearest, tenth, of, a, "foot)")))}}}</pre>