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A child traveled 1350 mi by jet and the an additional 135 mi by helicopter.The rate of the jet was 5 times the rate of the helicopter.the entire trip took 4.5 hours.Find the rate of the jet.
\n" ); document.write( "---
\n" ); document.write( "Helicopter DATA:
\n" ); document.write( "distance = 135 mi ; rate = x mph ; time = d/r = 135/x hrs
\n" ); document.write( "--------------------------
\n" ); document.write( "Jet DATA:
\n" ); document.write( "distance = 1350 mi ; rate = 5x ; time = d/r =1350/5x hrs
\n" ); document.write( "---------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 4.5 hrs
\n" ); document.write( "135/x + 1350/5x = 4.5
\n" ); document.write( "---
\n" ); document.write( "135/x + 270/x = 4.5
\n" ); document.write( "(405/x) = 9/2
\n" ); document.write( "Invert both sides to get:
\n" ); document.write( "x/405 = 2/9
\n" ); document.write( "Multiply both sides by 405 to get:
\n" ); document.write( "x = (2/9)*405
\n" ); document.write( "x = 90 mph (helicopter rate)
\n" ); document.write( "5x = 450 mph (jet rate)
\n" ); document.write( "============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "