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lina2011 [118]
3 years ago
14

1. Elena works out on a treadmill. She uses a program that combines running and walking, She knows that she runs at 0.2 miles pe

r minute and she walks at 0.1 miles per minute. At the end of her workout, the treadmill showed her workout distance was 8 miles.
a. **Give three possible combinations of walking and running times that would result in Elena having a workout distance of 8 miles.​
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

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 \times 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 = x minutes

Let the time taken in walking = y minutes

Distance traveled by running = 0.2x miles

Distance traveled by walking = 0.1y miles

As per question statement:

0.2x+0.1y = 8\\\Rightarrow 2x+y=80

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

Big Dawg
2 years ago
Equation
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