Train Time Calculation: Speed and Distance
To find the time required for the train to cover the distance, we use the fundamental relationship between distance, speed, and time.
The formula is:
$Time = Distance / Speed$
Applying the Formula
Given:
- Speed = 75 km/h
- Distance = 250 km
Substitute the values into the formula:
$Time = 250 \text{ km} / 75 \text{ km/h}$
Calculating Total Time
First, calculate the time in hours:
$\text{Time} = \frac{250}{75} \text{ h}$
Simplify the fraction:
$\text{Time} = \frac{10}{3} \text{ h}$
Convert the improper fraction to a mixed number:
$\text{Time} = 3 \frac{1}{3} \text{ h}$
The time is 3 whole hours plus $\frac{1}{3}$ of an hour.
Converting Fractional Hour to Minutes
To convert the fractional part ($\frac{1}{3}$ hour) into minutes, multiply by 60 (since there are 60 minutes in an hour):
$\text{Minutes} = \frac{1}{3} \times 60 \text{ min}$
$\text{Minutes} = 20 \text{ min}$
Final Time
Combine the whole hours and the minutes:
$Total Time = 3 \text{ hours} + 20 \text{ minutes}$
$Total Time = 3 \text{ h } 20 \text{ min}$
Similar Questions
- A train overtakes two persons walking along a railway track. The first one walks at 9 km/hr. The other one walks at 12.6 km/hr. The train needs 13.5 and 15 seconds, respectively, to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
- A train 180 m long is running at a speed of 90 km/h. How long will it take to pass a post?
- A train service got disrupted due to an accident after a travel of 30 km. The speed was reduced to four-fifth of the original speed. This caused it a delay of 45 min. If the accident had happened 18 km farther, it would have been running late for 36 min. What was the original speed of the train?
- Two trains 136 m and 185 m in length respectively are running in opposite directions, one at a speed of 70 km/h and the other at a speed of 65 km/h. In what time will they be completely clear of each other from the moment they meet?
- Find the time taken by a 450 m long train travelling at the speed of 80 km/h to cross a platform of length 150 m.
- Two trains start from stations A and B and travel towards each other at the speeds of 60 km/h and 70 km/h respectively. At the time of their meeting, the second train has travelled 100 km more than the first. The distance between A and B is:
- A 300-m-long train crosses an electric pole in 5 s. Find the speed of the train.
- Simplify the following. $\sqrt{2 + \sqrt{2 + 2\cos 4\theta}}$
- A train that is 110 m in length is running at 90 km/h. How much time will the train take to cross a bridge that is 180 m in length?
- The ratio between the speeds of two trains is 7 : 5. If the second train runs 400 km in 4 h, then the speed of the first train is:
Important Questions from Problem on Trains
Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.
If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?
A train with a uniform speed passes a 122 meters long platform in 17 seconds and a 210 meters long bridge in 25 seconds. The speed of the train is:
How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
A train passes a 360 metre long platform in 40 seconds and a man standing on the platform in 16 seconds. The speed of the train is:
