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Answer :
Sure! Let's work through this step-by-step:
(1) How long will it take you to run 400 meters if you can consistently run 80 meters in 16 seconds?
First, we need to determine your running speed. You can find speed by dividing the distance by the time it takes to cover that distance. Here, you can consistently run 80 meters in 16 seconds.
So, the speed is:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{80 \text{ m}}{16 \text{ s}} = 5 \text{ m/s} \][/tex]
Now that we know your speed is 5 meters per second, we can calculate how long it will take to run 400 meters.
Use the formula:
[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?
To find out how far you can run in 1 minute and 4 seconds, first convert the time into seconds.
1 minute = 60 seconds, so:
[tex]\[ \text{Total time} = 1 \times 60 + 4 = 64 \text{ seconds} \][/tex]
Using your speed of 5 meters per second, we calculate the distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 5 \text{ m/s} \times 64 \text{ s} = 320 \text{ meters} \][/tex]
Therefore, you can run 320 meters in 1 minute and 4 seconds.
I hope this helps you understand how to solve the problem! If you have any more questions, feel free to ask.
(1) How long will it take you to run 400 meters if you can consistently run 80 meters in 16 seconds?
First, we need to determine your running speed. You can find speed by dividing the distance by the time it takes to cover that distance. Here, you can consistently run 80 meters in 16 seconds.
So, the speed is:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{80 \text{ m}}{16 \text{ s}} = 5 \text{ m/s} \][/tex]
Now that we know your speed is 5 meters per second, we can calculate how long it will take to run 400 meters.
Use the formula:
[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?
To find out how far you can run in 1 minute and 4 seconds, first convert the time into seconds.
1 minute = 60 seconds, so:
[tex]\[ \text{Total time} = 1 \times 60 + 4 = 64 \text{ seconds} \][/tex]
Using your speed of 5 meters per second, we calculate the distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 5 \text{ m/s} \times 64 \text{ s} = 320 \text{ meters} \][/tex]
Therefore, you can run 320 meters in 1 minute and 4 seconds.
I hope this helps you understand how to solve the problem! If you have any more questions, feel free to ask.
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