Answer:
Alice lives <u>9 miles</u> far away from Carla.
Step-by-step explanation:
Given:
Alice cycles to Carla's house at 12 mph and returns by car at 36 mph.
If the round trip takes 1 hour.
Now, to find the distance from Carla to Alice house.
So, let the distance between the houses of Carla and Alice be
.
Now, we solve by using the formula:
Distance/speed = time
Alice cycles to Carla house = 
And return by car = 
Time taken for round trip = 1 hour.
Adding both the distance to get the value of x:



<em>Dividing both sides by 4 we get:</em>

Therefore, Alice lives 9 miles far away from Carla.