document.write( "Question 703980: a small plane traveled the 1800 km distance between two islands in 3 hours with the wind. the return trip against the wind took 6 hours . find the rate of the plane in still air and the rate of the wind \n" ); document.write( "

Algebra.Com's Answer #433831 by vidya pattar(14) $\"\"$ $\"About$

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Solution:\r
\n" ); document.write( "\n" ); document.write( "Let assume that the rate of the plane in still air is x km/hr
\n" ); document.write( "and the rate of the wind is y km/hr\r
\n" ); document.write( "\n" ); document.write( "now since plane travels 1800 km with the wind , it means
\n" ); document.write( "speed = distance / time taken,
\n" ); document.write( "total distance = 1800 / 3
\n" ); document.write( "x + y = 600\r
\n" ); document.write( "\n" ); document.write( "now while return trip the plane travels against the wind and take 6 hrs ,
\n" ); document.write( "hence speed = x - y = 1800 / 6
\n" ); document.write( "x - y = 300 \r
\n" ); document.write( "\n" ); document.write( "now solve the system of equation obtained above:
\n" ); document.write( "x + y = 600
\n" ); document.write( "x - y = 300
\n" ); document.write( "hence by adding both the equation we get :
\n" ); document.write( "2x = 900
\n" ); document.write( "x = 450\r
\n" ); document.write( "\n" ); document.write( "now to find the rate of the wind is = x + y = 600
\n" ); document.write( "450 + y = 600
\n" ); document.write( "y = 600 - 450
\n" ); document.write( "y = 150 \r
\n" ); document.write( "\n" ); document.write( "hence speed of the plane in still air is 450 m / hr
\n" ); document.write( "and speed of the wind is 150 km/hr .
\n" ); document.write( "Thanks
\n" ); document.write( "Best regards . \n" ); document.write( "

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