+209 A hiker kikes up a mountain 1 mi per hour slower than she hikes down the mountain. If it takes her 1.5 hours to hike up the mountain, and only 1 hour to hike down, how fast does she move in each direction?
+37146 Speed down the mountain = x
Speed UP the mountain = x-1
Rate * time = distance and distance up and down are the same....so equate them
(x-1)(1.5) = x(1)
1.5 x - 1.5 = x
1.5 = .5x
x = 3 mph x-1 = 2mph
+37146 Speed down the mountain = x
Speed UP the mountain = x-1
Rate * time = distance and distance up and down are the same....so equate them
(x-1)(1.5) = x(1)
1.5 x - 1.5 = x
1.5 = .5x
x = 3 mph x-1 = 2mph
