document.write( "Question 1201017: a hiking club made a trip of 380 km to a base camp in 7h. they traveled 4h on a paved highway and the remainder of the time on a wilderness trail. if the average velocity on the trail was 25km/h less than that on the highway, find the average velocity and distance traveled on each part of the trip. \n" ); document.write( "

Algebra.Com's Answer #835260 by ikleyn(52830) $\"\"$ $\"About$

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\n" ); document.write( "a hiking club made a trip of 380 km to a base camp in 7h.
\n" ); document.write( "they traveled 4h on a paved highway and the remainder of the time on a wilderness trail.
\n" ); document.write( "if the average velocity on the trail was 25km/h less than that on the highway,
\n" ); document.write( "find the average velocity and distance traveled on each part of the trip.
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document.write( "r    = the average speed on the trail, in km/h.\r\n" );
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document.write( "r+25 = the average speed on the highway.\r\n" );
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document.write( "Write the total distance equation\r\n" );
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document.write( "    3*r + 4*(r+25) = 380  kilometers.\r\n" );
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document.write( "From the equation, find r\r\n" );
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document.write( "    3r + 4r + 100 = 380\r\n" );
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document.write( "       7r         = 380 - 100 = 280\r\n" );
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document.write( "        r                     = 280/7 = 40.\r\n" );
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document.write( "ANSWER.  40 km/h on the trail;  40+25 = 65 km/h on the highway.\r\n" );
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