document.write( "Question 376399: Two hikers start walking in opposite directions from a camp at the same time. The average rate of the northbound hiker is 3 mi/h faster than the rate of the southbound hiker. If they are 22 mi apart after 2 hours, what is the rate of each hiker? (Let r be the rate of the southbound hiker) \n" ); document.write( "
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Two hikers start walking in opposite directions from a camp at the same time. The average rate of the northbound hiker is 3 mi/h faster than the rate of the southbound hiker. If they are 22 mi apart after 2 hours, what is the rate of each hiker? (Let r be the rate of the southbound hiker)
\n" ); document.write( "...
\n" ); document.write( "rate of the southbound hiker = r mph
\n" ); document.write( "rate of the northbound hiker is 3 mi/h faster = x+3
\n" ); document.write( "..
\n" ); document.write( "They are movin away from each other
\n" ); document.write( "speed = r+r+3
\n" ); document.write( "=2r+3 mph.
\n" ); document.write( "...
\n" ); document.write( "distance = 22 miles
\n" ); document.write( "time = 2 hours
\n" ); document.write( "speed = 2r+3
\n" ); document.write( "..
\n" ); document.write( "t = d/r
\n" ); document.write( "...
\n" ); document.write( "2= 22/(2r+3)
\n" ); document.write( "2(2r+3)=22
\n" ); document.write( "4r+6=22
\n" ); document.write( "4r=22-6
\n" ); document.write( "4r=16
\n" ); document.write( "/4
\n" ); document.write( "r=4 mph
\n" ); document.write( "the other's speed = r+3 = 7mph
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