document.write( "Question 393400: Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 60 miles per hour, while the truck heads south at an average speed of 50 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours. \n" ); document.write( "
Algebra.Com's Answer #279258 by ankor@dixie-net.com(22740)\"\" \"About 
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Two vehicles, a car and a truck, leave an intersection at the same time.
\n" ); document.write( " The car heads east at an average speed of 60 miles per hour, while the truck
\n" ); document.write( " heads south at an average speed of 50 miles per hour.
\n" ); document.write( " Find an expression for their distance apart d (in miles) at the end of t hours.
\n" ); document.write( ":
\n" ); document.write( "Let t = the travel time of both vehicles
\n" ); document.write( "then
\n" ); document.write( "60t = dist traveled by the car
\n" ); document.write( "and
\n" ); document.write( "50t = dist traveled by the truck
\n" ); document.write( ":
\n" ); document.write( "Use pythag, d = the hypotenuse
\n" ); document.write( ":
\n" ); document.write( "d = \"sqrt%28%2860t%29%5E2+%2B+%2850t%29%5E2%29\"
\n" ); document.write( "We can simplify this
\n" ); document.write( "d = \"sqrt%283600t%5E2+%2B+2500t%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "d = \"sqrt%286100t%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "d = \"sqrt%2861%2A100t%5E2%29\"
\n" ); document.write( "extract the square root of 100 and t^2
\n" ); document.write( ":
\n" ); document.write( "d = \"10t%2Asqrt%2861%29\", is the simplified expression for this scenario
\n" ); document.write( " \n" ); document.write( "
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