Let the time to hike up the hill = t
As given that the total time time up and down is 3 hrs, therefore
The time down the hill = 3-t
The distance up and down is the same.
Distance = speed * time
[tex]4t=6(3-t)[/tex]
[tex]4t=18-6t[/tex]
[tex]10t=18[/tex]
t=1.8
Hence, time taken to uphill = 1.8 hours
Time taken to down hill = 3-18 = 1.2 hours
