Train Distance Calculation
This solution explains how to find the distance a train covers given its speed and time.
Given Information
- Speed: 110 kmph
- Time: 100 seconds
Convert Speed to Meters per Second (m/s)
To calculate distance in meters using time in seconds, we first convert the speed from kilometers per hour (kmph) to meters per second (m/s).
The conversion factor is: $1 \text{ kmph} = \frac{5}{18} \text{ m/s}$
Speed in m/s = $110 \times \frac{5}{18}$
Speed in m/s = $\frac{550}{18} = \frac{275}{9} \text{ m/s}$
Calculate Distance
Use the formula: Distance = Speed $\times$ Time
Distance = $(\frac{275}{9} \text{ m/s}) \times (100 \text{ s})$
Distance = $\frac{27500}{9} \text{ m}$
Distance $\approx 3055.56 \text{ m}$
Final Answer
The distance covered by the train in 100 seconds is approximately 3055.56 meters.
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