Speed-Time Equation: Calculate Time for 5m/s Speed Over 700m Distance

Distance-Speed-Time Formula with Unit Conversions

David runs at a speed of 5 meters per second and covers a distance of 700 meters.

For how long does David run?

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1

Understand the problem

David runs at a speed of 5 meters per second and covers a distance of 700 meters.

For how long does David run?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:

Step 1: The problem provides us with a speed of v=5 v = 5 meters per second, and a distance of d=700 d = 700 meters.

Step 2: We'll use the formula t=dv t = \frac{d}{v} to find the time.

Step 3: Substitute the given values into the formula:

t=7005 t = \frac{700}{5} .

Compute the division:

t=140 t = 140 seconds.

Therefore, David runs for 140 140 seconds.

3

Final Answer

140 140 second

Key Points to Remember

Essential concepts to master this topic
  • Formula: Use t = d/v to find time from distance and speed
  • Technique: Substitute values: t = 700/5 = 140 seconds
  • Check: Verify by multiplying back: 5 × 140 = 700 meters ✓

Common Mistakes

Avoid these frequent errors
  • Using wrong formula or mixing up variables
    Don't use d = vt when finding time = gives distance instead of time! This happens when students confuse which variable they're solving for. Always use t = d/v when time is unknown.

Practice Quiz

Test your knowledge with interactive questions

David runs at a speed of 5 meters per second and covers a distance of 700 meters.

For how long does David run?

FAQ

Everything you need to know about this question

Why do I divide distance by speed to get time?

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Think of it this way: if you travel 5 meters every second, how many seconds do you need for 700 meters? You need 700 ÷ 5 = 140 seconds. Speed tells you how much distance per unit time!

What if the units don't match up?

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Always check your units first! If distance is in kilometers and speed is in meters per second, convert one to match the other. Your final answer's units come from distance units ÷ speed units.

How can I remember which formula to use?

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Use the triangle method: Draw a triangle with D on top, S and T on bottom. Cover what you want to find:

  • Cover T → use D ÷ S
  • Cover D → use S × T
  • Cover S → use D ÷ T

Is 140 seconds the same as 2 minutes and 20 seconds?

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Yes! To convert: 140 ÷ 60 = 2 remainder 20, so that's 2 minutes and 20 seconds. Always double-check if the problem asks for a specific time unit.

What if I get a decimal answer?

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Decimal answers are perfectly fine! For example, if you got 3.5 seconds, that means 3 and a half seconds. Just make sure your calculation is correct and the units make sense.

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