document.write( "Question 130096: Bryden got a job as a traffic helicopter pilot. She finds that with a tailwind, a 120km distance takes 45 minutes, but that the return trip (into the wind) takes 1 hour. What is the speed of the helicopter? What is the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #95005 by stanbon(75887) ![]() You can put this solution on YOUR website! Bryden got a job as a traffic helicopter pilot. She finds that with a tailwind, a 120km distance takes 45 minutes, but that the return trip (into the wind) takes 1 hour. What is the speed of the helicopter? What is the speed of the wind? \n" ); document.write( "--------------------- \n" ); document.write( "Let speed of the helicopter be \"h\"; Let sped of the wind be \"w\". \n" ); document.write( "--------------------- \n" ); document.write( "With the wind DATA: \n" ); document.write( "Distance 120 km ; time = 0.75 hr. Rate = d/t = 120/0.75 = 160 kph \n" ); document.write( "------------------- \n" ); document.write( "Against the wind DATA: \n" ); document.write( "Distance = 120 km ; time = 1 hr. Rate = d/t = 120 kph \n" ); document.write( "-------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "h+w = 160 \n" ); document.write( "h-w = 120 \n" ); document.write( "-------------------- \n" ); document.write( "Add to solve for \"h\" \n" ); document.write( "2h = 280 \n" ); document.write( "h = 140 kph (helicopter speed) \n" ); document.write( "-------------- \n" ); document.write( "Substitute to solve for \"w\" \n" ); document.write( "140 + w = 160 \n" ); document.write( "w = 20 kph (wind speed) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |