Question

Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs .2 miles and she walks . 1 miles per minute. At the end of the workout, the treadmill showed her workout distance was 8 miles Give three possible combinations of walking and running times that would result in Elena having a workout distance of 8 miles Write an equation that will relate the number of minutes Elena runs and walks to the total distance of her workout

Answer 1

Answer:

s = 2t₁ + t₂

3 possible combinations:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

Step-by-step explanation:

The distance covered by a body in uniform motion is given by the following equation:

s = vt

where,

s = distance

v = speed

t = time

For running:

s = s₁

t = t₁

v = 2 miles/min

Therefore,

s₁ = 2t₁

For walking:

s = s₂

t = t₂

v = 1 miles/min

Therefore,

s₂ = t₂

And the total distance will be:

s = s₁ + s₂

s = 2t₁ + t₂

where,

s = total distance covered in miles

t₁ = running time in min

t₂ = walking time in min

Now, the total distance is given as 8 miles:

8 = 2t₁ + t₂

So, the 3 possible combinations of time to satisfy this equation can be:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min