document.write( "Question 609485: a woman walked to a lake at the rate of 3 mi./hand returned via a different path at the rate of 4 miles per hour. If the return trip took one hour less time,and the round-trip distance was 10 miles, how long did the round-trip take to complete? \n" ); document.write( "
Algebra.Com's Answer #383762 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a woman walked to a lake at the rate of 3 mi/hr
\n" ); document.write( " returned via a different path at the rate of 4 miles per hour.
\n" ); document.write( " If the return trip took one hour less time, and the round-trip distance was 10 miles,
\n" ); document.write( " how long did the round-trip take to complete?
\n" ); document.write( ":
\n" ); document.write( "let t = time to the lake at 3 mph
\n" ); document.write( "let (t-1) = return time at 4 mph
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation:
\n" ); document.write( "3t + 4(t-1) = 10
\n" ); document.write( "3t + 4t - 4 = 10
\n" ); document.write( "7t = 10 + 4
\n" ); document.write( "7t = 14
\n" ); document.write( "t = 2 hrs
\n" ); document.write( ":
\n" ); document.write( "\"how long did the round-trip take to complete?\"
\n" ); document.write( "2 + (2-1) = 3 hrs
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the distance
\n" ); document.write( "3(2) + 4(1) = 10 \n" ); document.write( "
\n" );