As part of an exercise regimen, you walk 8 miles on an indoor track. then you jog at twice your walking speed for another 8 miles. if the total spent walking and jogging is 3 hours, find the walking and jogging rates

Rate of Walking = 4 miles/hour

Rate of jogging = 8 miles/hour

Step-by-step explanation:

Let speed of walk be = miles/hour

Distance covered by walking = 8 miles

Time taken to walk 8 miles =

Speed of jog is twice walking speed and that = miles/hour

Distance covered by Jogging = 8 miles

Time taken to jog 8 miles=  

Total time taken to walk and jog=

Total time actually taken =3 hours

so,

Taking LCD and adding fractions.

Multiplying both sides by .

Dividing both sides by 3.

∴ Rate of Walking = = 4 miles/hour

Rate of jogging = = = 8 miles/hour