document.write( "Question 792983: Suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h. Hiking trip took 3 hours.
\n" ); document.write( "How much time did it take you to hike up the hill? \n" ); document.write( "

Algebra.Com's Answer #480203 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h.
\n" ); document.write( " Hiking trip took 3 hours.
\n" ); document.write( "How much time did it take you to hike up the hill?
\n" ); document.write( ":
\n" ); document.write( "Let d = the one-way distance
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Time up + time down = 3 hrs
\n" ); document.write( " $\"d%2F4\"$ + $\"d%2F6\"$ = 3
\n" ); document.write( "multiply by 12, results:
\n" ); document.write( "3d + 2d = 12(3)
\n" ); document.write( "5d = 36
\n" ); document.write( "d = 36/5
\n" ); document.write( "d = 7.2 km
\n" ); document.write( "Find the time up the hill
\n" ); document.write( "7.2/4 = 1.8 hr up the hill
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the time down the hill
\n" ); document.write( "7.2/6 = 1.2 hrs
\n" ); document.write( "1.8+1.2 = 3 hrs
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