you walk 4 miles on an indoor track. then you jog at twice your walking speed for another 4 miles. if the total time spent walking and jogging is 3 hours, find the walking and jogging rates
let your walking rate be x m/hr,
So the jogging rate will be 2x m/hr since it is twice the walking rate.
Time taken when walking is given by distance traveled divided by walking rate:
Time taken when jogging is given by distance covered divided by jogging rate or speed:
The total time taken 3 hrs
so 4/x + 4/2x = 3
(8+4)/2x = 3
12/2x = 3
12 = 6x
so x is 2 m/hr, which is walking rate.
Jogging rate was twice the walking rate, so it is 4 m/hr.
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