document.write( "Question 538848: A plane flying with the jet stream flew from los angeles to chicago, a distance of 2250 mi, in 5 h. Flying against the jet stream, the plane could fly only 1750 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. \n" ); document.write( "
Algebra.Com's Answer #353259 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! a = airspeed \n" ); document.write( "w = wind speed \n" ); document.write( ". \n" ); document.write( "(a+w)*5 hr = 2250 miles \n" ); document.write( ". \n" ); document.write( "(a-w)*5 hr = 1750 miles \n" ); document.write( ". \n" ); document.write( "Using the distributive property to eliminate the parentheses. \n" ); document.write( "Then solve the system of equations by elimination \n" ); document.write( ". \n" ); document.write( "5a + 5w = 2250 \n" ); document.write( "5a - 5w = 1750 \n" ); document.write( "--------------- add \n" ); document.write( "10a = 4000 \n" ); document.write( ". \n" ); document.write( "a = 400 \n" ); document.write( ". \n" ); document.write( "Substitute a = 400 to find 'w'. \n" ); document.write( ". \n" ); document.write( "5(400) + 5w = 2250 \n" ); document.write( "2000 + 5w = 2250 \n" ); document.write( "5w = 250 \n" ); document.write( "w = 50 \n" ); document.write( ". \n" ); document.write( "Check the distances traveled in 5 hr to make sure these answers are right. \n" ); document.write( "(400+50)*5 = 2250 \n" ); document.write( "(400-50)*5 = 1750 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: Airspeed in calm air is 400 mph. The wind speed is 50 mph. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |