Question

Alice cycles to Carla's house at 12 mph and returns by car at 36 mph. If the round trip takes 1 hour, how far away from Carla does Alice live?

Answer 1

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 $x$.

Now, we solve by using the formula:

Distance/speed = time

Alice cycles to Carla house = $\frac{x}{12}$

And return by car = $\frac{x}{36}$

Time taken for round trip = 1 hour.

Adding both the distance to get the value of x:

$\frac{x}{12}+\frac{x}{36}=1$

$=\frac{3x+x}{36}=1$

$=\frac{4x}{36}=1$

Dividing both sides by 4 we get:

$x=9$

Therefore, Alice lives 9 miles far away from Carla.