document.write( "Question 161321This question is from textbook Algebra
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document.write( ": Kwan hiked uphill at 4km/h and back down at 6km/h. His total hiking time was 3h. how long did the trip up the hill take him? \n" );
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Algebra.Com's Answer #118834 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Kwan hiked uphill at 4km/h and back down at 6km/h. His total hiking time was 3h. how long did the trip up the hill take him? \n" ); document.write( ": \n" ); document.write( "Let t = time to hike up the hill \n" ); document.write( "It states that the total time time up & down is 3 hr; therefore \n" ); document.write( "(3-t) = time down the hill \n" ); document.write( ": \n" ); document.write( "The distance up and down is the same. Write a distance equation from this fact: \n" ); document.write( "Dist = speed * time \n" ); document.write( ": \n" ); document.write( "4t = 6(3-t) \n" ); document.write( ": \n" ); document.write( "4t = 18 - 6t \n" ); document.write( ": \n" ); document.write( "4t + 6t = 18 \n" ); document.write( ": \n" ); document.write( "10t = 18 \n" ); document.write( "t = \n" ); document.write( "t = 1.8 hrs to hike up the hill. 1 hr 48 min (.8*60) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: Down hill: 3 - 1.8 = 1.2 hrs \n" ); document.write( "6*1.2 = 7.2 mi \n" ); document.write( "4*1.8 = 7.2 mi \n" ); document.write( " |