document.write( "Question 192613: A canoe leaves a boat ramp and travels at the rate of 8 km per hour. A speed boat leaves an hour later and travels 20 km per hour. How long will it take the speed boat to overtake the canoe?
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Algebra.Com's Answer #144617 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A canoe leaves a boat ramp and travels at the rate of 8 km per hour. \n" ); document.write( " A speed boat leaves an hour later and travels 20 km per hour. \n" ); document.write( " How long will it take the speed boat to overtake the canoe? \n" ); document.write( ": \n" ); document.write( "Let t = travel time required for the speed boat to catch the canoe \n" ); document.write( "then \n" ); document.write( "(t+1) = travel time of the canoe when it's caught \n" ); document.write( ": \n" ); document.write( "When this happens they will have traveled the same distance \n" ); document.write( "Write a distance equation from this fact; (dist = speed * time) \n" ); document.write( ": \n" ); document.write( "Speed boat dist = canoe dist \n" ); document.write( "20t = 8(t+1) \n" ); document.write( "20t = 8t + 8 \n" ); document.write( "20t - 8t = 8 \n" ); document.write( "12t = 8 \n" ); document.write( "t = \n" ); document.write( "t = \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances: \n" ); document.write( "20 * .67 = 13.4 \n" ); document.write( "8 * 1.67 = 13.4 \n" ); document.write( " \n" ); document.write( " |