A loaded truck covers 16 km 25 minutes. At the same speed, how far can it travel in 5 hours?

Options

A. `"182 km"`
B. `"192 km"`
C. `"190 km"`
D. `"194 km"`

Answer

To solve the problem step by step, let's break it down:

### Step 1: Convert hours to minutes
We need to convert the time from hours to minutes because the distance we have is given in terms of minutes.

- **Calculation**:
\[ 5 \text{ hours} = 5 \times 60 = 300 \text{ minutes} \]

### Step 2: Determine the distance covered per minute
Next, we find out how much distance the truck covers in one minute. We know that it covers 16 km in 25 minutes.

- **Calculation**:
\[ \text{Distance per minute} = \frac{16 \text{ km}}{25 \text{ minutes}} = \frac{16}{25} \text{ km/minute} \]

### Step 3: Calculate the total distance covered in 300 minutes
Now, we can calculate how far the truck can travel in 300 minutes using the distance per minute we calculated in the previous step.

- **Calculation**:
\[ \text{Total distance} = \text{Distance per minute} \times \text{Total time in minutes} \]
\[ \text{Total distance} = \left(\frac{16}{25} \text{ km/minute}\right) \times 300 \text{ minutes} \]

### Step 4: Simplify the calculation
Now, we simplify the calculation to find the total distance.

- **Calculation**:
\[ \text{Total distance} = \frac{16 \times 300}{25} \]
\[ \text{Total distance} = \frac{4800}{25} = 192 \text{ km} \]

### Final Answer
The truck can travel **192 kilometers** in 5 hours.

---