Hello, please help me solve this application problem... Marlene rides her bicycl

Question

Hello, please help me solve this application problem... Marlene rides her bicycle to her friend Jon's house andreturns home by the same route. Marlene rides her bike at constantspeeds of 6 mph on level ground, 4 mph when going uphill, and 12mph when going downhill. If her total time riding was 1 hour,how far is it to Jon's house? Uniform Motion Formula: Rate x Time = Distance Hello, please help me solve this application problem... Marlene rides her bicycle to her friend Jon's house andreturns home by the same route. Marlene rides her bike at constantspeeds of 6 mph on level ground, 4 mph when going uphill, and 12mph when going downhill. If her total time riding was 1 hour,how far is it to Jon's house? Uniform Motion Formula: Rate x Time = Distance

Explanation / Answer

During the outbound trip, let x = distance on level ground y = distance uphill z = distance downhill then, on return trip x = distance on level ground z= distance uphill y= distance downhill time for outbound = x/6+y/4+z/12 time for return trip = x/6+y/12+z/4 total time = x/6+y/4+z/12+x/6+y/12+z/4=1 (x+y+z)/3 = 1 distance = x+y+z = 3 miles

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