Question

a woman can hike 2mph faster down a trail to Archuletta Lake then she can on the return trip uphill. it takes her 2 hours to get to the lake and 4 hours to return. what is her speed hacking down to the late?

Answer 1

4 mph

Step-by-step explanation :

Let us call x, the woman speed as she goes uphill

Now, we know that it took the woman 2 hours to go uphill; therefore, the distance covered is

4* (x)

shortly afterwards, when the woman returns she is walking at x + 2 mph; therefore, the distance she covers is

D = 4 (x +2 )

Since the uphill and the downhill distances ar the same, we have

4x = 2 (x +2 )

4x = 2x + 4

x = 2

Hence, going to the hill, the woman speed is 2 miles per goo