document.write( "Question 338724: A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h.\r
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document.write( "A. How long after the canoe left the campsite did the motorboat catch up with it?\r
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document.write( "B. How long did the motorboat travel? \n" );
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Algebra.Com's Answer #242784 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A group of campers and one group leader left a campsite in a canoe. \n" ); document.write( "They traveled at an average rate of 10 km/h. \n" ); document.write( "1st Group DATA: \n" ); document.write( "rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs \n" ); document.write( "------------------------------------------------------------ \n" ); document.write( "Two hours later, the other group leader left the campsite in a motorboat. \n" ); document.write( "He traveled at an average rate of 22 km/h. \n" ); document.write( "Group Leader DATA: \n" ); document.write( "rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs \n" ); document.write( "------------------------------------------------------------ \n" ); document.write( "----------------------------------------------- \n" ); document.write( "A. How long after the canoe left the campsite did the motorboat catch up with it? \n" ); document.write( "Group time - Leader time = 2 hr \n" ); document.write( "x/10 - x/22 = 2 \n" ); document.write( "Multiply thru by 110 to get: \n" ); document.write( "11x - 5x = 220 \n" ); document.write( "6x = 220 \n" ); document.write( "x = 110/3 = km \n" ); document.write( "--- \n" ); document.write( "canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes \n" ); document.write( "======================================================================== \n" ); document.write( "------------------------ \n" ); document.write( "B. How long did the motorboat travel? \n" ); document.write( "motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes \n" ); document.write( "======================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |