document.write( "Question 142033: The speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #103437 by ankor@dixie-net.com(22740)\"\" \"About 
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he speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water?
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\n" ); document.write( "Let s = speed in still water
\n" ); document.write( "then
\n" ); document.write( "(s-6) = speed upstream (in relation to the land)
\n" ); document.write( "and
\n" ); document.write( "(s+6) = speed downstream
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\n" ); document.write( "Write a time equation: Time = dist/speed
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\n" ); document.write( "Time downstream = time upstream
\n" ); document.write( "\"98%2F%28s%2B6%29\" = \"49%2F%28s-6%29\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "98(s-6) = 49(s+6)
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\n" ); document.write( "98s - 588 = 49s + 294
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\n" ); document.write( "98s - 49s = 294 + 588
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\n" ); document.write( "49s = 882
\n" ); document.write( "s = \"882%2F49\"
\n" ); document.write( "s = 18 mph in still water
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\n" ); document.write( "Check solution by finding out if the times are equal
\n" ); document.write( "12 mph = speed up
\n" ); document.write( "24 mph = speed down
\n" ); document.write( "49/12 = 4.0833
\n" ); document.write( "98/24 = 4.0833\r
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