document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161706>Question 1161706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 180 <BR>\n" );
document.write( "mph faster than the speed of the car. Find the speed of the plane. </SPAN>\n" );
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document.write( "Here is the distance-rate-time table for both the car and plane<BR>\n" );
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document.write( "<tr><TD ></TD><TD >Distance</TD><TD >Rate or Speed</TD><TD >Time</TD></tr><tr><TD >Car</TD><TD >200</TD><TD >200/t</TD><TD >t</TD></tr><tr><TD >Plane</TD><TD >920</TD><TD >920/t</TD><TD >t</TD></tr>\n" );
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document.write( "You start off filling out the distances for each. Those are the given numeric values. The time t is the same for both the car and plane. The rate or speed is found using the formula r = d/t, which comes from d = r*t. The table is optional, but may be handy to keep track of everything.\r<BR>\n" );
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document.write( "We know that the plane goes 180 mph faster than the car, so this means<BR>\n" );
document.write( "plane's speed = (car's speed) + 180<BR>\n" );
document.write( "920/t = (200/t) + 180<BR>\n" );
document.write( "920 = 200 + 180t<BR>\n" );
document.write( "on the last step, I multiplied every term by t to clear out the fractions\r<BR>\n" );
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document.write( "From here, let's solve for t<BR>\n" );
document.write( "920 = 200 + 180t<BR>\n" );
document.write( "920-200 = 180t<BR>\n" );
document.write( "720 = 180t<BR>\n" );
document.write( "180t = 720<BR>\n" );
document.write( "t = 720/180<BR>\n" );
document.write( "t = 4\r<BR>\n" );
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document.write( "Both car and plane travel for t = 4 hours.<BR>\n" );
document.write( "Doing so, the car's speed is r = d/t = 200/4 = 50 mph<BR>\n" );
document.write( "and the plane's speed is r = d/t = 920/4 = 230 mph<BR>\n" );
document.write( "The plane's speed is 230-50 = 180 mph greater than that of the car\r<BR>\n" );
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document.write( "Answer: plane's speed = <font color=red size=4>230 mph</font><BR>\n" );
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