Ava and kelly ran a road race, starting from the same place at the same time. ava ran at an average speed of 6 miles per hour. kelly ran at an average speed of 8 miles per hour. when will ava and kelly be 3/4 mile apart?

The answer is:

Ava and Kelly will be 3/4 mile apart after 0.375 hours.

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.

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step-by-step explanation: