Train Speed Calculation
This problem requires calculating the speed of a train given the distance traveled and the time taken. The final answer needs to be in kilometers per hour (km/h).
Convert Time to Hours
The time taken is given as 45 minutes. To express this in hours, divide by 60:
$ \text{Time} = \frac{45 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{3}{4} \text{ hours} $
Calculate Speed
The formula for speed is Distance divided by Time:
$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $
Given:
- Distance = 60 km
- Time = $ \frac{3}{4} $ hours
Substitute the values into the formula:
$ \text{Speed} = \frac{60 \text{ km}}{\frac{3}{4} \text{ hours}} $
Final Speed Calculation
To find the speed, multiply the distance by the reciprocal of the time:
$ \text{Speed} = 60 \times \frac{4}{3} \text{ km/h} $
$ \text{Speed} = \frac{60 \times 4}{3} \text{ km/h} $
$ \text{Speed} = \frac{240}{3} \text{ km/h} $
$ \text{Speed} = 80 \text{ km/h} $
Therefore, the speed of the train is 80 km/h.
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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?
