document.write( "Question 19477: George went to Disneyland going 50MPH on the way there and 40MPH on the way back. It took George 7.2 hours roundtrip. How many miles did he go? \n" ); document.write( "

Algebra.Com's Answer #9412 by xcentaur(357) $\"\"$ $\"About$

You can put this solution on YOUR website!
let the distance be x
\n" ); document.write( "

\n" ); document.write( "One way,
\n" ); document.write( "speed=50mph
\n" ); document.write( "distance=x miles
\n" ); document.write( "time=d/s=x/50 hours.....[1]
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\n" ); document.write( "return trip,
\n" ); document.write( "speed=40mph
\n" ); document.write( "distance=x miles
\n" ); document.write( "time=d/s=x/40 hours.......[2]
\n" ); document.write( "

\n" ); document.write( "Now we have been told that the total time taken is 7.2 hours
\n" ); document.write( "So add up equations [1] and [2],
\n" ); document.write( " $\"%28x%2F50%29%2B%28x%2F40%29=7.2\"$
\n" ); document.write( " $\"%2840x%2B50x%29%2F%2840%2A50%29=7.2\"$
\n" ); document.write( " $\"%2890x%29%2F2000=7.2\"$
\n" ); document.write( " $\"90x=7.2%2A2000\"$
\n" ); document.write( " $\"90x=14400\"$
\n" ); document.write( " $\"x=160\"$
\n" ); document.write( "

\n" ); document.write( "therefore,he travelled 160 miles one-way
\n" ); document.write( "

\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

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