Pregunta
much earlier would it have arrived at B?
Two men running towards each other at
respectively, are one kilometre apart. How long will it tak
before they meet?
Two men running towards each other at
respectively, are one kilometre apart. How long will it tak
before they meet?
Ask by Ruiz Higgins. in New Zealand
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
It will take 100 seconds for the two men to meet.
Solución
To determine how long it takes for the two men to meet, you can use the concept of relative speed. Here’s a step-by-step breakdown:
-
Given:
- Speed of the first man (
): 4 m/s - Speed of the second man (
): 6 m/s - Initial distance between them (
): 1 kilometer = 1000 meters
- Speed of the first man (
-
Relative Speed (
):
When two objects are moving towards each other, their relative speed is the sum of their individual speeds. -
Time to Meet (
):
Time is calculated by dividing the initial distance by the relative speed. -
Conclusion:
The two men will meet after 100 seconds.
Additional Perspective:
-
Converting Seconds to Minutes: If you prefer to see the time in minutes:So, they will meet approximately 1 minute and 40 seconds after they start running towards each other.
-
Visual Representation:
- Imagine both men starting 1 kilometer apart.
- Every second, together, they cover 10 meters (since 4 m/s + 6 m/s = 10 m/s).
- In 100 seconds, they would have covered the entire distance between them.
If you have any further questions or need clarification on any step, feel free to ask!
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Simplifique esta solución Extra Insights
To find out how long it will take for the two men to meet, we can first determine their combined speed. One man is running at 4 m/s and the other at 6 m/s.
So, their combined speed is:
Next, since they are 1 kilometer apart, we convert that distance into meters:
Now we can calculate the time it takes for them to meet using the formula:
Thus, it will take 100 seconds for the two men to meet.
Now, let’s answer the first part about how much earlier one would arrive at a point B. If you specify the question properly regarding point B, I can help you work that out!
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