document.write( "Question 675768: Sam leaves for the store on his skateboard at 8 mph. His skateboard breaks when he gets to the store, so he immediately goes home at a speed of 4 mph. What is the round trip distance if it took 2 hours? \n" ); document.write( "

Algebra.Com's Answer #420046 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the one-way distance to store
\n" ); document.write( "Let $\"+t+\"$ = time going to store ( one-way time )
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+=+8t+\"$
\n" ); document.write( "(2) $\"+d+=+4%2A%28+2+-+t+%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+8t+=+4%2A%28+2+-+t+%29+\"$
\n" ); document.write( "(2) $\"+8t+=+8+-+4t+\"$
\n" ); document.write( "(2) $\"+12t+=+8+\"$
\n" ); document.write( "(2) $\"+t+=+2%2F3+\"$ ( 40 minutes )
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+8t+\"$
\n" ); document.write( "(1) $\"+d+=+8%2A%282%2F3%29+\"$
\n" ); document.write( "(1) $\"+d+=+16%2F3+\"$
\n" ); document.write( " $\"+2d+=+32%2F3+\"$
\n" ); document.write( " $\"+2d+=+10.667+\"$ miles round-trip
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+d+=+4%2A%28+2+-+t+%29+\"$
\n" ); document.write( "(2) $\"+16%2F3+=+4%2A%28+2+-+t+%29+\"$
\n" ); document.write( "(2) $\"+16%2F3+=+8+-+4t+\"$
\n" ); document.write( "(2) $\"+4t+=+24%2F3+-+16%2F3+\"$
\n" ); document.write( "(2) $\"+4t+=+8%2F3+\"$
\n" ); document.write( "(2) $\"+t+=+2%2F3+\"$
\n" ); document.write( "OK\r
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