A girl can get to school in 15 minutes if she rides her bike. It takes her 45 minutes if she walks. She travels 10 miles per hour slower when walking. How far does she travel to school?

walang sagot bes

1.75 miles

To find out how far the girl travels to school, we need to determine her speed when riding the bike.

Let's assume the distance to school is 'd' miles.

Riding the bike, the girl takes 15 minutes, which is equivalent to 15/60 = 1/4 hour.

Walking, she takes 45 minutes, which is equivalent to 45/60 = 3/4 hour.

When riding her bike, her speed can be represented as d miles/ (1/4) hour = 4d miles/hour.

When walking, her speed is 10 miles per hour slower than her biking speed, so her walking speed can be represented as (4d - 10) miles/hour.

We know that the walking time is three times the biking time:

3/4 hour = 3 * (1/4) hour.

Now we can create an equation relating the walking distance and the biking distance:

(4d - 10) miles/hour * (3/4) hour = 4d miles/hour * (1/4) hour.

Simplifying the equation:

3(4d - 10) = d.

Expanding and rearranging:

12d - 30 = d.

Bringing 'd' terms to one side:

12d - d = 30.

Simplifying:

11d = 30.

Dividing both sides by 11:

d = 30/11.

So, the girl travels approximately 2.73 miles to school.