document.write( "Question 1164012: Natasha rides her bike (at a constant speed) for 4 hours, helped by a 24) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
\n" ); document.write( "the wind takes 10 hours. Find the total round trip distance she
\n" ); document.write( "traveled.
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Algebra.Com's Answer #788304 by MathTherapy(10552)\"\" \"About 
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Natasha rides her bike (at a constant speed) for 4 hours, helped by a 24) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
\n" ); document.write( "the wind takes 10 hours. Find the total round trip distance she
\n" ); document.write( "traveled.
\n" ); document.write( "
Let distance be D, and average speed, without the wind, be S
\n" ); document.write( "Then we get the following OUTGOING-SPEED equation:
\n" ); document.write( "Also, the RETURN-SPEED equation is: \"matrix%281%2C6%2C+D%2F10%2C+%22=%22%2C+S+-+3%2C+%22------%22%2C+eq%2C+%22%28ii%29%22%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+D%2F10%2C+%22=%22%2C+D%2F4+-+3+-+3%29\" ------ Substituting \"D%2F4+-+3\" for S in eq (ii)
\n" ); document.write( "\"matrix%281%2C3%2C+D%2F10%2C+%22=%22%2C+D%2F4+-+6%29\"
\n" ); document.write( "2D = 5D - 120 ----- Multiplying by LCD, 20
\n" ); document.write( "2D - 5D = - 120
\n" ); document.write( "- 3D = - 120
\n" ); document.write( "Distance she traveled, one way, or \"matrix%281%2C6%2C+D%2C+%22=%22%2C+%28-+120%29%2F%28-+3%29%2C+%22=%22%2C+%0D%0A40%2C+miles%29\"
\n" ); document.write( "Round-trip distance: \"highlight_green%28matrix%281%2C4%2C+2%2840%29%2C+%22=%22%2C+80%2C+miles%29%29\". \n" ); document.write( "
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