Problema Solution
As part of an exercise regimen, you walk 6 miles on an indoor track. Then you jog at 3 times your walking speed for another 6 miles. If the total time spent walking and jogging is 4 hours, find the walking and jogging rates.
Answer provided by our tutors
let
w = the walking rate, w>0
j = the jogging rate, j>0
t = 4 hr the total time spent
you jog at 3 times your walking speed
j = 3w
we use the formula time = distance/speed
6/w + 6/j = 4
plug j = 3w into 6/w + 6/j = 4
6/w + 6/(3w) = 4
by solving we find
w = 2 mph
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j = 3*2
j = 6 mph
the walking rate is 2 mph.
the jogging rate is 6 mph.