document.write( "Question 182580: A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph slower than the power boat. Find the speed of each boat. \n" ); document.write( "
Algebra.Com's Answer #137070 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph slower than the power boat. Find the speed of each boat. \n" ); document.write( "--------------- \n" ); document.write( "Cruiser DATA: \n" ); document.write( "distance = 20 miles ; rate = x-5 mph ; time = 20/(x-5) hrs \n" ); document.write( "------------------------ \n" ); document.write( "Power boat DATA: \n" ); document.write( "distance = 40 miles ; rate = x mph ; time = 40/x hrs \n" ); document.write( "------------------------ \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "20/(x-5)= 40/x \n" ); document.write( "20x = 40(x-5) \n" ); document.write( "20x = 40x - 200 \n" ); document.write( "-20x = -200 \n" ); document.write( "x = 10 mph (speed of the power boat) \n" ); document.write( "x-5 = 5 mph (speed of the cruiser) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |