A hiking club set out at 12 noon. The members hiked along a level road at a rate of 4 mph; up a mountain trail at 3 mph;immediately back down the mountain trail at 6 mph,and back home along the level road again at 4 mph. They got back at 6pm. How far did the club hike?

• 12 miles
  
  If the level road is L miles and the mountain trail is M miles,then
  
  2* L/4 + M/3+ M/6 = 6,
  3L + 2M + M = 36
  3L+3M=36
  3*(L+M)=36
  (L+M)=12 miles
• 10 years agoHelpfull: Yes(1) No(1)
• 24 miles
  
  If the level road is L miles and the mountain trail is M miles,then
  
  2* L/4 + M/3+ M/6 = 6,
  3L + 2M + M = 36
  3L+3M=36
  3*(L+M)=36
  (L+M)=12 miles
  total distance = 2*(L+M)
  =2*12 = 24 miles
  
• 10 years agoHelpfull: Yes(0) No(1)