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
The average speed of a train is 180% of the average speed of a car. The car covers a distance of 990 km in 15 hours. The time taken (in hours) by the train to cover the distance of 891 km is:
If Rohit can cover a distance of 1188 km in 22 hours, then what is the speed of Rohit?
A train is moving at 72 km/hrs. The distance covers in 15 minutes by the train is:
If Sonu is driving a car at a speed of 20 m/s, then in how much time Sonu will cover a distance of 936 km?
A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)?
