A biker covers ⅗ of a mile in ⅓ hour. How far does the biker go in 15 minutes

To solve the problem, we'll start by determining the biker's speed and then use that to find out how far the biker travels in 15 minutes.

### Step 1: Calculate the biker's speed
The biker covers \( \frac{3}{5} \) of a mile in \( \frac{1}{3} \) of an hour. Speed is calculated as:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{3}{5} \text{ miles}}{\frac{1}{3} \text{ hour}} 
\]

To simplify, multiply by the reciprocal of the time fraction:

\[
\text{Speed} = \frac{3}{5} \times \frac{3}{1} = \frac{9}{5} \text{ miles per hour}
\]

### Step 2: Convert 15 minutes to hours
15 minutes is \( \frac{15}{60} = \frac{1}{4} \) of an hour.

### Step 3: Calculate the distance traveled in 15 minutes
Using the speed and the time, the distance is:

\[
\text{Distance} = \text{Speed} \times \text{Time} = \frac{9}{5} \times \frac{1}{4} = \frac{9}{20} \text{ miles}
\]

So, the biker travels \( \frac{9}{20} \) of a mile in 15 minutes.

**Would you like more details or have any questions?**

Here are some related questions:

1. How long would it take the biker to cover 2 miles at the same speed?
2. What would be the biker's speed in feet per second?
3. If the biker increased their speed by 20%, how far would they travel in 15 minutes?
4. How long would it take the biker to cover ⅖ of a mile at the same speed?
5. What fraction of a mile does the biker travel in 10 minutes?

**Tip:** To solve word problems involving speed, time, and distance, always remember the basic relationship: \(\text{Distance} = \text{Speed} \times \text{Time}\).

Learn how to calculate the distance a biker travels based on speed and time. Solve the problem where a biker covers ⅗ of a mile in ⅓ hour and find out how far they go in 15 minutes. Includes step-by-step solution and related questions.

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