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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?

 Jun 19, 2019

Best Answer 

 #1
avatar+18439 
+3

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

 Jun 19, 2019
 #1
avatar+18439 
+3
Best Answer

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

ElectricPavlov Jun 19, 2019
 #2
avatar+208 
+1

OMG THANK YOU

NoobGuest  Jun 19, 2019

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