document.write( "Question 1133894: A motorboat can maintain a constant speed of 13 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 45 ​minutes; the return trip takes 33 minutes. What is the speed of the​ current? \n" ); document.write( "
Algebra.Com's Answer #751153 by ankor@dixie-net.com(22740)\"\" \"About 
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A motorboat can maintain a constant speed of 13 miles per hour relative to the water.
\n" ); document.write( " The boat makes a trip upstream to a certain point in 45 ​minutes; the return trip takes 33 minutes. What is the speed of the​ current?
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\n" ); document.write( "let c = the rate of the current
\n" ); document.write( "then
\n" ); document.write( "(13-c) = ground speed against the current
\n" ); document.write( "and
\n" ); document.write( "(13+c) = ground speed with
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "the dist up = the dist back
\n" ); document.write( "\"45%2F60\"(13-c) = \"33%2F60\"(13+c)
\n" ); document.write( "multiply both sides by 60
\n" ); document.write( "45(13-c) = 33(13+c)
\n" ); document.write( "585 - 45c = 429 + 33c
\n" ); document.write( "585 - 429 = 45c + 33c
\n" ); document.write( "156 = 78c
\n" ); document.write( "c = 156/78
\n" ); document.write( "c = 2 mph is the current
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