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A train travels [tex][tex]$150 \, m$[/tex][/tex] in 2 seconds. What is the speed of the train?

[Ans: 75]


Sagot :

Sure, let's solve this step-by-step.

1. Identify the given information:
- The distance traveled by the train is [tex]\(150 \text{ meters} \)[/tex].
- The time taken to travel this distance is [tex]\(2 \text{ seconds} \)[/tex].

2. Understand the formula for speed:
The formula to calculate speed is:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

3. Substitute the given values into the formula:
- Distance ([tex]\( \text{d} \)[/tex]) = [tex]\(150 \text{ meters} \)[/tex]
- Time ([tex]\( \text{t} \)[/tex]) = [tex]\(2 \text{ seconds} \)[/tex]

Now, plug these values into the speed formula:
[tex]\[ \text{Speed} = \frac{150 \text{ meters}}{2 \text{ seconds}} \][/tex]

4. Perform the division:
[tex]\[ \text{Speed} = 75 \text{ meters per second (m/s)} \][/tex]

Thus, the speed of the train is [tex]\(75 \text{ m/s} \)[/tex].