document.write( "Question 1135240: A train leaves Orlando at 1:00 pm. A second train leaves the same city in the same direction at 4:00 pm. The second train travels 30mph faster than the first. If the second train overtakes the first at 10:00 pm, what is the speed of each of the two trains? \n" ); document.write( "

Algebra.Com's Answer #752832 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Let x be the speed of the first train, in miles per hour (mph).\r\n" );
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document.write( "Then the speed of the second train is (x+30) mph, according to the condition.\r\n" );
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document.write( "From 1 pm to 10 pm, the first train moved 9 hours and covered the distance of 9*x miles (recall the formula Distance = Time*Speed (!) )\r\n" );
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document.write( "From 4 pm to 10 pm, the second train moved 6 hours and covered the distance of 6*(x + 30) miles (same \"distance\" formula).\r\n" );
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document.write( "The distance is the same in both cases - it gives you an equation\r\n" );
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document.write( "    9x = 6*(x+30).\r\n" );
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document.write( "Simplify and solve it for x:\r\n" );
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document.write( "    9x = 6x + 180\r\n" );
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document.write( "    9x - 6x = 180\r\n" );
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document.write( "    3x = 180   ==============>  x =  = 60.\r\n" );
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document.write( "Answer.  The first train' speed was 60 mph;  the second train' speed was  60+30 = 90 mph.\r\n" );
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document.write( "CHECK.   9*60 = 540 miles = 6*90.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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