document.write( "Question 1148948: Hi, I need help solving this word problem. Its seems we need to find two answers but not sure how to. \r
\n" ); document.write( "\n" ); document.write( "Word Problem; \"Two buses leave towns 610 km apart at the same time and travel toward each other. One bus travels 5 km per hour faster than the other. If they meet in 4 hours, what is the rate of each bus? (Label which speed is for which bus\"\r
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Algebra.Com's Answer #770286 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x be the rate of the slower bus, in kilometers per hour.\r\n" );
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document.write( "Then the rate of the other bus is (x+5) kilometers per hour, according to the condition.\r\n" );
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document.write( "In 4 hours, the slower bus traveled  4*x kilometers, while the faster bus traveled 4*(x+5) kilometers.\r\n" );
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document.write( "In 4 hours, they meet each other, which means that the sum of the traveled distances is the total distance\r\n" );
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document.write( "    4x + 4*(x+5) = 610  kilometers.\r\n" );
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document.write( "Thus you get your basic equation. Now your task is to solve it.\r\n" );
document.write( "For it, simplify the equation step by step.\r\n" );
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document.write( "    4x + 4x + 20 = 610\r\n" );
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document.write( "    8x           = 610 - 20\r\n" );
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document.write( "    8x           = 590\r\n" );
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document.write( "     x           = 590/8 = 73.75 kilometers per hour.\r\n" );
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document.write( "Thus you found the rate of the slower bus.\r\n" );
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document.write( "Then the rate of the faster bus is  73.75 + 5 = 78.75 km/h.\r\n" );
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document.write( "CHECK.  4*73.75 + 4*78.75 = 610 kilometers.   ! Precisely correct !\r\n" );
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document.write( "ANSWER.  73.75 km/h for the slower bus  and  78.75 km/h for the faster bus.\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( "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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\n" ); document.write( "\n" ); document.write( "You did it VERY REASONABLY by dividing your original post in two SEPARATE problems.\r
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\n" ); document.write( "\n" ); document.write( "Never submit more than one problem per post to this forum.\r
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\n" ); document.write( "\n" ); document.write( "Those who violate this rule, work AGAINST their own interests.\r
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