document.write( "Question 159969: Lois rides her bike to visit a friend. She travels at 10 mi/h. While shes there, it starts to rain. Her friend drives her home in a car traveling at 25 mi/h. It takes lois 1.5h longer to to friends than it does to return home.How many hours did it take lois to ride to her friends house? \n" ); document.write( "
Algebra.Com's Answer #118065 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Lois rides her bike to visit a friend. She travels at 10 mi/h. While shes there, \n" ); document.write( " it starts to rain. Her friend drives her home in a car traveling at 25 mi/h. \n" ); document.write( " It takes Lois 1.5h longer to go to friend's house than it does to return home. \n" ); document.write( "How many hours did it take Lois to ride to her friends house? \n" ); document.write( ": \n" ); document.write( "Let t = time in hrs for reach friend's house \n" ); document.write( "then \n" ); document.write( "(t-1.5) = time for friend to drive her home \n" ); document.write( ": \n" ); document.write( "Both trips are the same distance, Write a distance equation from this fact: \n" ); document.write( "Dist = speed * time \n" ); document.write( ": \n" ); document.write( "Drive dist = Bike dist \n" ); document.write( "25(t-1.5) = 10t \n" ); document.write( ": \n" ); document.write( "25t - 37.5 = 10t \n" ); document.write( ": \n" ); document.write( "25t - 10t = +37.5 \n" ); document.write( ": \n" ); document.write( "15t = 37.5 \n" ); document.write( "t = \n" ); document.write( "t = 2.5 hrs to ride to her friends house \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances, should be equal: \n" ); document.write( "10*2.5 = 25 mi \n" ); document.write( "25*(2.5-1.5) = 25 mi \n" ); document.write( " |