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
\n" ); document.write( "\n" ); document.write( "A. How long after the canoe left the campsite did the motorboat catch up with it?\r
\n" ); document.write( "\n" ); document.write( "B. How long did the motorboat travel?
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Algebra.Com's Answer #242784 by stanbon(75887)\"\" \"About 
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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
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\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
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\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
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\n" ); document.write( "canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes
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\n" ); document.write( "B. How long did the motorboat travel?
\n" ); document.write( "motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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