document.write( "Question 1031906: \"How far can an airplane fly from its base, and yet return within 3 hours, if its outgoing speed is 600 kilometers per hour and its returning speed is 400 kilometers per hour?\" Can you help me with this?? Thanks in advance! \n" ); document.write( "

Algebra.Com's Answer #646585 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the distance in km the plane
\n" ); document.write( "can fly from its base
\n" ); document.write( "Let $\"+t+\"$ = the time of travel for
\n" ); document.write( "the trip from the base
\n" ); document.write( "--------------------------------
\n" ); document.write( "Traveling from the base:
\n" ); document.write( "(1) $\"+d+=+600t+\"$
\n" ); document.write( "Traveling back to base
\n" ); document.write( "(2) $\"+d+=+400%2A%28+3+-+t+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Set (1) = (2)
\n" ); document.write( " $\"+600t+=+400%2A%28+3+-+t+%29+\"$
\n" ); document.write( " $\"+600t+=+1200+-+400t+\"$
\n" ); document.write( " $\"+1000t+=+1200+\"$
\n" ); document.write( " $\"+t+=+1.2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+600t+\"$
\n" ); document.write( "(1) $\"+d+=+600%2A1.2+\"$
\n" ); document.write( "(1) $\"+d+=+720+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "The plane can fly as far as 720 km
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+400%2A%28+3+-+t+%29+\"$
\n" ); document.write( "(2) $\"+d+=+400%2A%28+3+-+1.2+%29+\"$
\n" ); document.write( "(2) $\"+d+=+400%2A1.8+\"$
\n" ); document.write( "(2) $\"+d+=+720+\"$
\n" ); document.write( "OK \n" ); document.write( "

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