document.write( "Question 951840: Hi, I am studying for my Math Exam tomorrow. I was not sure how to set up the following problem for solving. Can you explain, please? \r
\n" ); document.write( "\n" ); document.write( "Bob drove 200 miles in the same amount of time that it took a propeller plane to fly 1,100 miles. The speed of the plane was 180 mph faster than the speed of the car. Find the speed of thee car and the speed of the plane.
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Algebra.Com's Answer #581309 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Bob drove \"d%5B1%5D=200mil\" in the same amount of time \"t\" that it took a propeller plane to fly \"d%5B2%5D=1100mil\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B1%5D=200mil\" in time \"t%7D%7D+is%3A%0D%0A%0D%0A%7B%7B%7Bd%5B1%5D=s%2At\"\r
\n" ); document.write( "\n" ); document.write( "\"speed+=s+%28mil%2Fh%29\"\r
\n" ); document.write( "\n" ); document.write( "a propeller plane to fly:
\n" ); document.write( "
\n" ); document.write( "\"d%5B2%5D=1100mil\" in same time \"t\":\r
\n" ); document.write( "\n" ); document.write( "\"d%5B2%5D=s%2At\"\r
\n" ); document.write( "\n" ); document.write( "since given that the speed of the plane was \"180%28mil%2Fh%29\" greater then speed of a car, we have \r
\n" ); document.write( "\n" ); document.write( "\"speed+=%28s+%2B180%29%28mil%2Fh%29\"\r
\n" ); document.write( "\n" ); document.write( "now we have for the car:\r
\n" ); document.write( "\n" ); document.write( "\"200mil=s%28mil%2Fh%29%2At\"\r
\n" ); document.write( "\n" ); document.write( "and the plane:\r
\n" ); document.write( "\n" ); document.write( "\"1100mil=%28s+%2B180%29%28mil%2Fh%29%2At\"\r
\n" ); document.write( "\n" ); document.write( "since given that \"t\" equal, we have\r
\n" ); document.write( "\n" ); document.write( "\"t=200mil%2Fs%28mil%2Fh%29\"....the car
\n" ); document.write( "and
\n" ); document.write( "\"t=1100mil%2F%28s+%2B180%28mil%2Fh%29%29\".......the plane\r
\n" ); document.write( "\n" ); document.write( "so,
\n" ); document.write( "\"200mil%2Fs%28mil%2Fh%29=1100mil%2F%28s%28mil%2Fh%29+%2B180%28mil%2Fh%29%29\" ...simplify\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%2Fs=11%2F%28s+%2B180%28mil%2Fh%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2%28s+%2B180%28mil%2Fh%29%29=11s\"\r
\n" ); document.write( "\n" ); document.write( "\"2s+%2B360%28mil%2Fh%29=11s\"\r
\n" ); document.write( "\n" ); document.write( "\"360%28mil%2Fh%29=11s-2s\"\r
\n" ); document.write( "\n" ); document.write( "\"360%28mil%2Fh%29=9s\"\r
\n" ); document.write( "\n" ); document.write( "\"s=360%28mil%2Fh%29%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"s=highlight%2840%28mil%2Fh%29%29\".....the speed of \"car\" \r
\n" ); document.write( "\n" ); document.write( "\"s+%2B180%28mil%2Fh%29=40%28mil%2Fh%29+%2B180%28mil%2Fh%29=highlight%28220%28mil%2Fh%29%29\".....the speed of \"plane\" \r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "car
\n" ); document.write( "\"t=200mil%2Fs\"\r
\n" ); document.write( "\n" ); document.write( "\"t=200mil%2F40%28mil%2Fh%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t=5h\"\r
\n" ); document.write( "\n" ); document.write( "plain\r
\n" ); document.write( "\n" ); document.write( "\"t=1100mil%2F%28s+%2B180%28mil%2Fh%29%29\"
\n" ); document.write( "\"t=1100mil%2F%28220%28mil%2Fh%29%29\"
\n" ); document.write( "\"t=5h\"\r
\n" ); document.write( "\n" ); document.write( "so, the time is same \r
\n" ); document.write( "\n" ); document.write( "your answer is:\r
\n" ); document.write( "\n" ); document.write( "the speed of \"car\" is \"highlight%2840%28mil%2Fh%29%29\" and the speed of \"plane\" is \"highlight%28220%28mil%2Fh%29%29\"\r
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