document.write( "Question 590248: Richard used his kayak and rows upstream at the rate of 3 kph and rows back downstream at the rate of 21 kph. If the complete trip requires 30 minutes. Find the total distance Richard rowed. \n" ); document.write( "
Algebra.Com's Answer #375215 by ankor@dixie-net.com(22740)\"\" \"About 
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Richard used his kayak and rows upstream at the rate of 3 kph and rows back downstream at the rate of 21 kph. If the complete trip requires 30 minutes. Find the total distance Richard rowed.
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\n" ); document.write( "Let d = one-way distance rowed
\n" ); document.write( "then
\n" ); document.write( "2d = total distance
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\n" ); document.write( "Change 30 min to .5 hrs
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\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( "\"d%2F3\" + \"d%2F21\" = .5
\n" ); document.write( "multiply by 21
\n" ); document.write( "21*\"d%2F3\" + 21*\"d%2F21\" = 21*.5
\n" ); document.write( "cancel the denominators
\n" ); document.write( "7d + d = 10.5
\n" ); document.write( "8d = 10.5
\n" ); document.write( "d = \"10.5%2F8\"
\n" ); document.write( "d = 1.3125 km one way
\n" ); document.write( "then
\n" ); document.write( "2 * 1.3125 = 2.625 km total distance
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\n" ); document.write( "See if this checks out find the time each way
\n" ); document.write( "1.3125/3 = .4375 hrs
\n" ); document.write( "1.3125/21= .0625 hrs
\n" ); document.write( "--------------------
\n" ); document.write( "total time;.5 hrs; confirms our solution of 2.625 km total
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