document.write( "Question 487749: Respected Sir ,
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document.write( "Please help me to solve this question, I will be very grateful for your help
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document.write( "An aeroplane flies from A to B at the rate of 500 km / hour and comes back from B to A at the rate of 700 km / hour. The average speed of the aeroplane is\r
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document.write( "As the answer given is : 583.33km per hour\r
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document.write( "Please help me to simplify this !!!
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Algebra.Com's Answer #333135 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An aeroplane flies from A to B at the rate of 500 km / hour and comes back from B to A at the rate of 700 km / hour. The average speed of the aeroplane is \n" ); document.write( "As the answer given is : 583.33km per hour \n" ); document.write( "----------------- \n" ); document.write( "A to B DATA: \n" ); document.write( "rate = 500 km/hr ; time = x hrs ; distance = 500x km \n" ); document.write( "---- \n" ); document.write( "B to A DATA: \n" ); document.write( "rate = 700 km/hr ; time = y hrs ; distance 700y km \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "500x = 700 y \n" ); document.write( "x = (7/5)y \n" ); document.write( "=====================\r \n" ); document.write( "\n" ); document.write( "Average speed = total distance/total time \n" ); document.write( "= (500x + 700y)/(x+y) \n" ); document.write( "= (500(7y/5)+700y)/(12y/5) \n" ); document.write( "= 1400y/(12y/5) \n" ); document.write( "= 7000/12 \n" ); document.write( "= 583 1/3 km/hr \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |