document.write( "Question 515269: Hello my name is Suzy. I need help on a algebra word problem. I have worked it out a few times and never got the right answer. Here is the problem.\r
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document.write( "A long distance truck driver traveled 160 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 4 hours less time. Find the speed going.\r
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document.write( "I know that I want to use the equation t=d
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document.write( "But from there I am lost. \n" );
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Algebra.Com's Answer #343970 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A long distance truck driver traveled 160 miles in one direction during a snow storm. \n" ); document.write( " The return trip in rainy weather was accomplished at double the speed and took 4 hours less time. \n" ); document.write( "Find the speed going. \n" ); document.write( ": \n" ); document.write( "First find the time. \n" ); document.write( "let t = travel time required in snow \n" ); document.write( "then \n" ); document.write( "(t-4) = time required in rain \n" ); document.write( ": \n" ); document.write( "Write a speed equation: s = dist/time \n" ); document.write( ": \n" ); document.write( "Rain speed = twice snow speed \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "320(t-4) = 160t \n" ); document.write( "320t - 1280 = 160t \n" ); document.write( "320t - 160t = 1280 \n" ); document.write( "160t = 1280 \n" ); document.write( "t = \n" ); document.write( "t = 8 hrs required thru the snow, then 4 hrs thru the rain \n" ); document.write( ": \n" ); document.write( "Find the speeds \n" ); document.write( "160/8 = 20 mph thru snow \n" ); document.write( "160/4 = 40 mph thru rain \n" ); document.write( " |