To find the distance Ranitha traveled, we can use the formula for distance:

$\text{Distance} = \text{Speed} \times \text{Time}$

Given:

• Speed = 10 miles per hour (mph)
• Time = $\frac{1}{5}$ hour

Now, substitute the values into the formula:

$\text{Distance} = 10 \, \text{mph} \times \frac{1}{5} \, \text{hr} = 2 \, \text{miles}$

So, the distance from Ranitha's home to the school is 2 miles.

Would you like more details or have any questions about this problem?

Here are some related questions you may find interesting:

1. How would the distance change if her speed was 15 mph?
2. How would the distance change if she took 1/10 of an hour?
3. What is the relationship between time, speed, and distance?
4. How do you convert time given in minutes to hours for such calculations?
5. What is the formula for average speed when multiple distances are involved?

Tip: Always make sure the time is in the same unit as the speed to ensure consistency in your calculations!