document.write( "Question 856197: Karen’s boat has a top speed of 10 miles per hour in still water. While traveling on a river at top speed, she went 16 miles upstream in the same amount of time she went 24 miles downstream. Find the rate of the river current.\r
\n" ); document.write( "\n" ); document.write( "I am having a problem with finding the formula and how to do this type of problem. Can you help me? I need help step by step. I am a fast learner once I see it done one time. I have been stuck on this for two days now and tried to figure out how to do the formula for it. Thank you so much!
\n" ); document.write( "Genie
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Algebra.Com's Answer #515798 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+c+\" = the speed of the current
\n" ); document.write( "\"+10+-+c+\" = the boat's speed going upstream
\n" ); document.write( "\"+10+%2B+c+\" = the boat's speed going downstream
\n" ); document.write( "Let \"+t+\" = the time in hours for both trips
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Equation for going upstream:
\n" ); document.write( "(1) \"+16+=+%28+10+-+c+%29%2At+\"
\n" ); document.write( "Equation for going downstream:
\n" ); document.write( "(2) \"+24+=+%28+10+%2B+c+%29%2At+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "(1) \"+16+=+10t+-+c%2At+\"
\n" ); document.write( "(2) \"+24+=+10t+%2B+c%2At+\"
\n" ); document.write( "\"+20t+=+40+\"
\n" ); document.write( "\"+t+=+2+\" hrs
\n" ); document.write( "------------------
\n" ); document.write( "(1) \"+16+=+%28+10+-+c+%29%2A2+\"
\n" ); document.write( "(1) \"+10+-+c+=+8+\"
\n" ); document.write( "(1) \"+c+=+2+\"
\n" ); document.write( "The speed of the current is 2 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+24+=+%28+10+%2B+c+%29%2At+\"
\n" ); document.write( "(2) \"+24+=+%28+10+%2B+2+%29%2A2+\"
\n" ); document.write( "(2) \"+24+=+12%2A2+\"
\n" ); document.write( "(2) \"+24+=+24+\"
\n" ); document.write( "OK
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