Answer:
Alice lives 9 miles 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 [tex]x[/tex].
Now, we solve by using the formula:
Distance/speed = time
Alice cycles to Carla house = [tex]\frac{x}{12}[/tex]
And return by car = [tex]\frac{x}{36}[/tex]
Time taken for round trip = 1 hour.
Adding both the distance to get the value of x:
[tex]\frac{x}{12}+\frac{x}{36}=1[/tex]
[tex]=\frac{3x+x}{36}=1[/tex]
[tex]=\frac{4x}{36}=1[/tex]
Dividing both sides by 4 we get:
[tex]x=9[/tex]
Therefore, Alice lives 9 miles far away from Carla.
