document.write( "Question 139296: It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of each boat. \n" ); document.write( "
Algebra.Com's Answer #101561 by stanbon(75887)\"\" \"About 
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It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of each boat.
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\n" ); document.write( "Cruiser DATA:
\n" ); document.write( "distance = 50 km ; rate = x kph ; time = 50/x hrs
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\n" ); document.write( "Power Boat DATA:
\n" ); document.write( "distance = 60 km ; rate = 3x kph ; time = 60/(3x) hrs
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\n" ); document.write( "EQUATION:
\n" ); document.write( "cruise time = power boat time + 3 hrs.
\n" ); document.write( "50/x = 60/3x + 3
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\n" ); document.write( "Multiply thru by 3x to get:
\n" ); document.write( "150 = 60 + 9x
\n" ); document.write( "210 = 9x
\n" ); document.write( "x = 70/3 = 23 1/3 kph (cruiser speed)
\n" ); document.write( "3x = 70 kph (power boat speed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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