document.write( "Question 800161: Josie leaves home on her bicycle and rides out to the edge of the forest for three hours. on her return trip, along the same route, it takes her three-quarters of an hour longer. if her rate on the trip was two miles per hour slower than on the trip out forest, then
\n" ); document.write( "A) find the rate to bicycle INTO the forest?
\n" ); document.write( "B) what is the one-way distance from home to the forest? \n" ); document.write( "
Algebra.Com's Answer #483116 by ankor@dixie-net.com(22740)\"\" \"About 
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Josie leaves home on her bicycle and rides out to the edge of the forest for three hours.
\n" ); document.write( " on her return trip, along the same route, it takes her three-quarters of an hour longer.
\n" ); document.write( " if her rate on the trip was two miles per hour slower than on the trip out forest, then
\n" ); document.write( ":
\n" ); document.write( "A) find the rate to bicycle INTO the forest?
\n" ); document.write( "let s = speed into the forest
\n" ); document.write( "then
\n" ); document.write( "(s-2) = speed returning
\n" ); document.write( "Write a distance equation, dist = time * speed
\n" ); document.write( ":
\n" ); document.write( "dist back = dist in
\n" ); document.write( "3.75((s-2) = 3s
\n" ); document.write( "3.75s - 7.5 = 3s
\n" ); document.write( "3.75s - 3 = 7.5
\n" ); document.write( ".75s = 7.5
\n" ); document.write( "s = 7.5/.75
\n" ); document.write( "s = 10 mph into the forest
\n" ); document.write( ":
\n" ); document.write( "B) what is the one-way distance from home to the forest?
\n" ); document.write( "dist = speed * time
\n" ); document.write( "d = 10 * 3
\n" ); document.write( "d = 30 miles
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions using return trip
\n" ); document.write( "8 * 3.75 = 30 \n" ); document.write( "
\n" );