document.write( "Question 895085: A motorboat travels twice as fast when empty as when it is full. It travels 20 miles north with a cargo,spends half an hour for unloading, and returns to its original port empty, taking 8 hours to complete the entire trip. What is the speed of the motorboat when it is empty? Want explanation \n" ); document.write( "
Algebra.Com's Answer #542553 by MathTherapy(10557)\"\" \"About 
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\n" ); document.write( " A motorboat travels twice as fast when empty as when it is full. It travels 20 miles north with a cargo,spends half an hour for unloading, and returns to its original port empty, taking 8 hours to complete the entire trip. What is the speed of the motorboat when it is empty? Want explanation
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document.write( "Let speed of motorboat, when empty, be S
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document.write( "Then speed, when it’s full is: ˝S, or \"S%2F2\"
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document.write( "Time taken to travel 20 miles north, when full is: \"20%2F%28S%2F2%29\", or \"20+%2A+%282%2FS%29\", or \"40%2FS\"
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document.write( "Time taken to unload cargo: ˝ hr
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document.write( "Time taken to travel 20 miles south, when empty is: \"20%2FS\"
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document.write( "Since total time taken to complete entire trip was 8 hours, then: \"40%2FS+%2B+1%2F2+%2B+20%2FS+=+8\"
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document.write( "80 + S + 40 = 16S ----- Multiplying by LCD, 2S
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document.write( "S + 120 = 16S 
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document.write( "S – 16S = - 120 
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document.write( "– 15S = - 120
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document.write( "S, or speed of boat, when empty = \"%28-+120%29%2F-+15\", or \"highlight_green%288%29\" mph
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