document.write( "Question 656459: A military helicopter traveled at 140 mph. A motorcycle traveled at 60 mph. The motorcycle traveled for three hours longer than the helicopter and went 100 miles farther than the helicopter. How far did the motorcycle travel? \n" ); document.write( "

Algebra.Com's Answer #409520 by stanbon(75887) $\"\"$ $\"About$

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A military helicopter traveled at 140 mph. A motorcycle traveled at 60 mph. The motorcycle traveled for three hours longer than the helicopter and went 100 miles farther than the helicopter. How far did the motorcycle travel?
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\n" ); document.write( "Helicopter DATA:
\n" ); document.write( "rate = 140 mph ; distance = x miles ; time = d/r = x/140 hrs
\n" ); document.write( "-------
\n" ); document.write( "Motorcycle DATA:
\n" ); document.write( "rate = 60 mph ; distance = x + 100 miles ; time = d/r = (x+100)/60 hrs
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\n" ); document.write( "Equations:
\n" ); document.write( "time - time = 3 hrs
\n" ); document.write( "(x+100)/60 - (x/140) = 3
\n" ); document.write( "140(x+100) - 60x = 3*60*140
\n" ); document.write( "------
\n" ); document.write( "140x + 14000 - 60x = 3*60*140
\n" ); document.write( "80x = 11200
\n" ); document.write( "x = 140 miles (helicopter distance)
\n" ); document.write( "--------
\n" ); document.write( "x+100 = 240 miles (motorcycle distance)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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