Train Distance Calculation: Meters Covered
To find the distance the train covers, we need to ensure the units of speed and time are consistent and then use the distance formula.
Speed Conversion
The train's speed is given as 90 km/h. We need to convert this to meters per second (m/s) because the question asks for the distance in meters.
- 1 km = 1000 m
- 1 hour = 3600 s
- Speed in m/s = Speed in km/h $\times \frac{1000}{3600}$ = Speed in km/h $\times \frac{5}{18}$
- Speed = $90 \times \frac{5}{18}$ m/s
- Speed = $5 \times 5$ m/s
- Speed = 25 m/s
Time Conversion
The time is given as 15 minutes. We need to convert this to seconds.
- 1 minute = 60 seconds
- Time = $15 \times 60$ s
- Time = 900 s
Distance Calculation
Now, use the formula: Distance = Speed $\times$ Time.
- Distance = 25 m/s $\times$ 900 s
- Distance = 22500 m
The train will cover 22500 meters in 15 minutes.
Similar Questions
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- Ravikant cycles at a speed of $12.5\text{ km/h}$ and walks at a speed of $3\text{ km/h}$. To cover a distance of $40\text{ km}$ by cycle and walk both, Ravikant took $7\text{ hours}$. How many of these hours were spent cycling?
- A salesman has to cover 6 km in $\frac{3}{4}$ h. If he covers $\frac{1}{2}$ of the distance in $\frac{2}{3}$ of the total time, then what must be his speed (in km/h) to cover the remaining distance in the remaining time?
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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
