Seconds per metre to Minutes per kilometre conversion

How to convert seconds per metre to minutes per kilometre?

Sure, I'd be happy to help explain how to convert seconds per metre (s/m) to minutes per kilometre (min/km), and provide some real-world examples.

Conversion Process

1. Understand the Units:

   • 1 kilometre (km) is equal to 1000 metres (m).
   • 1 minute (min) is equal to 60 seconds (s).

2. Set Up the Conversion:

   • If you have a pace of $x$ seconds per metre (s/m), you first need to find out how many seconds it takes to run 1000 metres (1 kilometre).
   • Since 1 km = 1000 m, if your pace is $x$ s/m, it takes $x \times 1000$ seconds to run 1 kilometre.

3. Convert Seconds to Minutes:

   • You then convert that time in seconds to minutes by dividing by 60 (since 1 minute = 60 seconds).

Example Calculation

Let's convert 1 second per metre (s/m) to minutes per kilometre (min/km).

1. Calculate time to run 1 kilometre: $\text{Time (in seconds) to run 1 km} = 1 \text{ s/m} \times 1000 \text{ m} = 1000 \text{ seconds}$

2. Convert seconds to minutes: $\text{Time (in minutes) to run 1 km} = \frac{1000 \text{ seconds}}{60 \text{ seconds/min}} = \frac{1000}{60} \approx 16.67 \text{ min}$

So, a pace of 1 second per metre is equivalent to approximately 16.67 minutes per kilometre.

Real-World Examples

Here are some more examples with different seconds per metre paces:

Example 1: 0.5 seconds per metre

1. Calculate time to run 1 kilometre: $0.5 \text{ s/m} \times 1000 \text{ m} = 500 \text{ seconds}$

2. Convert seconds to minutes: $\frac{500 \text{ seconds}}{60 \text{ seconds/min}} = \frac{500}{60} \approx 8.33 \text{ min}$

   Therefore, 0.5 s/m is approximately 8.33 min/km.

Example 2: 0.2 seconds per metre

1. Calculate time to run 1 kilometre: $0.2 \text{ s/m} \times 1000 \text{ m} = 200 \text{ seconds}$

2. Convert seconds to minutes: $\frac{200 \text{ seconds}}{60 \text{ seconds/min}} = \frac{200}{60} \approx 3.33 \text{ min}$

   Therefore, 0.2 s/m is approximately 3.33 min/km.

Example 3: 2 seconds per metre

1. Calculate time to run 1 kilometre: $2 \text{ s/m} \times 1000 \text{ m} = 2000 \text{ seconds}$

2. Convert seconds to minutes: $\frac{2000 \text{ seconds}}{60 \text{ seconds/min}} = \frac{2000}{60} \approx 33.33 \text{ min}$

   Therefore, 2 s/m is approximately 33.33 min/km.

I hope this helps you understand how to perform the conversion and gives you a clearer picture of different paces! If you have any more questions, feel free to ask.