<PRE><B>Question 599198</B>
He hiked for a total of 8 hours with an average speed of 5.5 km/h.
 Some of the time he walked at a rate of 4 km/h, while the rest of the time he jogged at 10 km/h.
 For how many hours did he walk? For how many hours did he jog?
 How far did he jog? How far did he walk?
:
We can solve this easily with a system of equations
w = walking time
j = jogging time
:
total distance: 8 * 5.5 = 44 miles
:
w + j = 8
w = (8-j); use this for substitution
and
4w + 10j = 44 
Replace w with (8-j)
4(8-j) + 10j = 44 
32 - 4j = 44
-4j + 10j = 44 - 32
6j = 12
j = 12/6
j = 2 hrs jogging
and
8 - 2 = 6 hrs walking
:
2(10) = 20 mi jogging
6(4) = 24 mi walking</PRE>