Answer:
The three possible combinations are:
1. Running for 30 minutes, walking for 20 minutes
2. Running for 35 minutes, walking for 10 minutes
3. Running for 25 minutes, walking for 30 minutes
Step-by-step explanation:
Given that:
Elena combines running and walking on a treadmill.
Running speed = 0.2 miles/hr
Walking speed = 0.1 miles/hr
Total distance traveled = 8 miles
To find:
Three possible combinations of walking and running times.
Solution:
First of all, let us have a look at the formula for distance traveled:
Distance = Speed Time
Here, we are given that the distance is 8 miles which is covered by both running and walking.
Let the time taken in running = minutes
Let the time taken in walking = minutes
Distance traveled by running = miles
Distance traveled by walking = miles
As per question statement:
Now, we need to find 3 set of solutions for above equation.
The solutions can be:
x = 30, y = 20
x = 35, y = 10 and
x = 25, y = 30
So, the three possible combinations are:
1. Running for 30 minutes, walking for 20 minutes
2. Running for 35 minutes, walking for 10 minutes
3. Running for 25 minutes, walking for 30 minutes