Certainly! Let's break down the problem step-by-step.
First, we need to determine how many meters the man travels in the given time. We know the man runs at a speed of 100 meters per minute.
Step 1: Calculate the total distance in meters.
- The man runs at a speed of 100 meters per minute.
- He runs for 30 minutes.
- To find the total distance traveled in meters, we multiply his speed by the time he spends running.
[tex]\[ \text{Distance in meters} = \text{Speed} \times \text{Time} \][/tex]
[tex]\[ \text{Distance in meters} = 100 \, \text{m/min} \times 30 \, \text{minutes} = 3000 \, \text{meters} \][/tex]
Step 2: Convert the distance from meters to kilometers.
- Since 1 kilometer is equal to 1000 meters, we need to divide the distance in meters by 1000 to convert it to kilometers.
[tex]\[ \text{Distance in kilometers} = \frac{\text{Distance in meters}}{1000} \][/tex]
[tex]\[ \text{Distance in kilometers} = \frac{3000 \, \text{meters}}{1000} = 3.0 \, \text{kilometers} \][/tex]
So, the man will have travelled 3000 meters or 3.0 kilometers in 30 minutes at a speed of 100 meters per minute.
