document.write( "Question 339755: A pilot picks up mail at a remote village and returns to home base in 4 hours. If his average speed going is 150mph and the average speed returning is 100mph, how far is home base from the village? \n" ); document.write( "
Algebra.Com's Answer #243700 by ankor@dixie-net.com(22740)\"\" \"About 
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A pilot picks up mail at a remote village and returns to home base in 4 hours.
\n" ); document.write( " If his average speed going is 150mph and the average speed returning is 100mph,
\n" ); document.write( " how far is home base from the village?
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\n" ); document.write( "Let d = one way distance to the village
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\n" ); document.write( "Write a time equation: time = dist/speed
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\n" ); document.write( "Go time + return time = 4 hrs
\n" ); document.write( "\"d%2F150\" + \"d%2F100\" = 4
\n" ); document.write( "Multiply by 300 to clear the denominators, results:
\n" ); document.write( "2d + 3d = 300(4)
\n" ); document.write( "5d = 1200
\n" ); document.write( "d = \"1200%2F5\"
\n" ); document.write( "d = 240 miles dist from base of village
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\n" ); document.write( ":
\n" ); document.write( "Check solution by finding the times:
\n" ); document.write( "240/150 = 1.6 hrs
\n" ); document.write( "240/100 = 2.4 hrs
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\n" ); document.write( "total time: 4 hrs; confirms our solution
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