document.write( "Question 1065649: two families who lived 63 miles apart met at a park between their homes for a picnic. how long did each drive if both travelled at a rate of 45 miles an hour and one drove 12 minutes longer than the other? how to solve it?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #680840 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
use rate * time = distance
\n" ); document.write( ":
\n" ); document.write( "r(1) * t(1) + r(2) * t(2) = 63
\n" ); document.write( ":
\n" ); document.write( "12 minutes = 12 / 60 = 1 / 5 = 0.2 hour
\n" ); document.write( ":
\n" ); document.write( "we are given r(1) = r(2) = 45, t(1) = t + 0.2 and t(2) = t
\n" ); document.write( ":
\n" ); document.write( "45(t + 0.2) + 45t = 63
\n" ); document.write( ":
\n" ); document.write( "45t + 9 + 45t = 63
\n" ); document.write( ":
\n" ); document.write( "90t = 54
\n" ); document.write( ":
\n" ); document.write( "t = 54 / 90 = 6 / 10 = 0.6
\n" ); document.write( ":
\n" ); document.write( "***************************************
\n" ); document.write( "family one drove 0.8 hour or 48 minutes
\n" ); document.write( ":
\n" ); document.write( "family two drove 0.6 hour or 36 minutes
\n" ); document.write( "***************************************
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );