document.write( "Question 482313: Donald and Eric swam as a team in a relay race. Donald swam at a steady 3 km/h while Eric returned at an average rate of 4 km/h. Their total time was posted as 5 h 15 min. How long did Eric swim? \n" ); document.write( "

Algebra.Com's Answer #330246 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Donald and Eric swam as a team in a relay race.
\n" ); document.write( " Donald swam at a steady 3 km/h while Eric returned at an average rate of 4 km/h.
\n" ); document.write( " Their total time was posted as 5 h 15 min. How long did Eric swim?
\n" ); document.write( ":
\n" ); document.write( "Change 5 hrs 15 min to 5.25 hrs
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\n" ); document.write( "Find the distance first
\n" ); document.write( "Let d = the one-way distance
\n" ); document.write( ":
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "D's time + E's time = 5 hr 15 min
\n" ); document.write( " $\"d%2F3\"$ = $\"d%2F4\"$ = 5.25
\n" ); document.write( "multiply by 12 to clear the denominators
\n" ); document.write( "4d + 3d = 12(5.25)
\n" ); document.write( "7d = 63
\n" ); document.write( "d = 63/7
\n" ); document.write( "d = 9 km is the one way distance
\n" ); document.write( ":
\n" ); document.write( "Find Eric's time
\n" ); document.write( "t = 9/4
\n" ); document.write( "t = 2.25 hrs is E's swim time
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\n" ); document.write( ":
\n" ); document.write( "Confirm the solution by finding the total time
\n" ); document.write( "9/4 = 2.25
\n" ); document.write( "9/3 = 3.00
\n" ); document.write( "------------
\n" ); document.write( "total 5.25 hrs \n" ); document.write( "

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