document.write( "Question 1204796: In his​ motorboat, Tran travels upstream at top speed to his favorite fishing​ spot, a distance of 6 ​miles, in 2 hours.​ Returning, he finds that the trip​ downstream, still at top​ speed, takes only 1.5 hours. Find the speed of​ Tran's boat and the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #841294 by ikleyn(52782)\"\" \"About 
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\n" ); document.write( "In his​ motorboat, Tran travels upstream at top speed to his favorite fishing​ spot,
\n" ); document.write( "a distance of 6 ​miles, in 2 hours.​ Returning, he finds that the trip​ downstream,
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document.write( "Let x be the speed of​ Tran's boat in sill water,\r\n" );
document.write( "and let c be the speed of the current.\r\n" );
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document.write( "Then we have these equations\r\n" );
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document.write( "    u + c = \"6%2F1.5\" = 4     (1)  for the speed traveling downstream\r\n" );
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document.write( "    u - c = \"6%2F2\" = 3       (2)  for the speed traveling   upstream\r\n" );
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document.write( "Add this equations.  You will get\r\n" );
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document.write( "    2u = 4 + 3 = 7  --->  u = 7/2 = 3.5 miles per hour.\r\n" );
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document.write( "Now from equation (1)\r\n" );
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document.write( "    c = 4 - u = 4 - 3.5 = 0.5 miles per hour.\r\n" );
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document.write( "ANSWER.  The speed of​ Tran's boat in still water is 3.5 miles per hour.\r\n" );
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document.write( "         The speed of the current is 0.5 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical and standard Upstream and Downstream round trip word problem.\r
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\n" ); document.write( "\n" ); document.write( "You can find many similar fully solved problems on upstream and downstream round trips with detailed solutions in lessons \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - More problems on upstream and downstream round trips \r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r
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