Answer:
Step-by-step explanation:
Convert to a decimal
Step 1. Reduce the fraction to its lowest terms.
Divide both numerator and denominator by their greatest common factor (12)
Step 2. Convert the denominator to a power of 10
Multiply both numerator and denominator by 2.
Step 3. Divide the numerator by the denominator
Dividing by 10 moves the decimal point one place to the left.
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:
For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:
Now, substituting the equation for Ava into the equation for Kelly, we have:
To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:
For Kelly:
There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!