document.write( "Question 791031: a car travels from station a to b at 30kmph during its return trip to A,it travels at 30kmph for half of the distance and at 70kmph for next half of the distance.find average speed of the car?\r
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Algebra.Com's Answer #479403 by ankor@dixie-net.com(22740)\"\" \"About 
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a car travels from station a to b at 30kmph during its return trip to A,it travels at 30kmph for half of the distance and at 70kmph for next half of the distance.find average speed of the car?
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\n" ); document.write( "Let d = the distance from a to b
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\n" ); document.write( ".5d = half the distance from a to b
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\n" ); document.write( "Let a = average speed for the round trip
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\n" ); document.write( "Write a time equation: time = dist/speed.
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\n" ); document.write( "\"d%2F30\" + \"%28.5d%29%2F30\" + \"%28.5d%29%2F70\" = \"%282d%29%2Fa\"
\n" ); document.write( "Add like terms
\n" ); document.write( "\"%281.5d%29%2F30\" + \"%28.5d%29%2F70\" = \"%282d%29%2Fa\"
\n" ); document.write( "Multiply by 210a, resulting in
\n" ); document.write( "7a(1.5d) + 3a(.5d) = 210(2d)
\n" ); document.write( "10.5ad + 1.5ad = 420d
\n" ); document.write( "12ad = 420d
\n" ); document.write( "divide both sides by d
\n" ); document.write( "12a = 420
\n" ); document.write( "a = 420/12
\n" ); document.write( "a = 35 mph is the average speed
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\n" ); document.write( "You can check this yourself, use d=60 to find the actual time at each speed
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