Answer :
Sure! Let's solve the problem step-by-step:
1. How long will it take you to run 400 m?
- First, we know you can run 80 meters in 16 seconds. To find your running speed, we calculate:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{80 \text{ m}}{16 \text{ s}} = 5 \text{ meters per second (m/s)}
\][/tex]
- Next, we want to find out how long it will take to run 400 meters. Use the speed you’ve just calculated:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{400 \text{ m}}{5 \text{ m/s}} = 80 \text{ seconds}
\][/tex]
So, it will take you 80 seconds to run 400 meters.
2. How far can you run in 1 minute and 4 seconds?
- Convert 1 minute and 4 seconds into seconds. Since there are 60 seconds in 1 minute, it becomes:
[tex]\[
1 \text{ minute and 4 seconds} = 60 \text{ s} + 4 \text{ s} = 64 \text{ seconds}
\][/tex]
- Now use the speed to find the distance you can run in 64 seconds:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time} = 5 \text{ m/s} \times 64 \text{ s} = 320 \text{ meters}
\][/tex]
So, you can run 320 meters in 1 minute and 4 seconds.
To sum up:
1. It takes you 80 seconds to run 400 meters.
2. You can run 320 meters in 1 minute and 4 seconds.
1. How long will it take you to run 400 m?
- First, we know you can run 80 meters in 16 seconds. To find your running speed, we calculate:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{80 \text{ m}}{16 \text{ s}} = 5 \text{ meters per second (m/s)}
\][/tex]
- Next, we want to find out how long it will take to run 400 meters. Use the speed you’ve just calculated:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{400 \text{ m}}{5 \text{ m/s}} = 80 \text{ seconds}
\][/tex]
So, it will take you 80 seconds to run 400 meters.
2. How far can you run in 1 minute and 4 seconds?
- Convert 1 minute and 4 seconds into seconds. Since there are 60 seconds in 1 minute, it becomes:
[tex]\[
1 \text{ minute and 4 seconds} = 60 \text{ s} + 4 \text{ s} = 64 \text{ seconds}
\][/tex]
- Now use the speed to find the distance you can run in 64 seconds:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time} = 5 \text{ m/s} \times 64 \text{ s} = 320 \text{ meters}
\][/tex]
So, you can run 320 meters in 1 minute and 4 seconds.
To sum up:
1. It takes you 80 seconds to run 400 meters.
2. You can run 320 meters in 1 minute and 4 seconds.
