A long-distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100 km/hr, at what speed should it travel to cover the distance in the same amount of time?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
A long-distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100 km/hr, at what speed should it travel to cover the distance in the same amount of time?
To calculate average speed, the total distance covered by the train is divided by the total distance covered by the train. The train should travel at a speed of 100 km/hr to cover the distance in the same amount of time.
Table of content
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Speed Of the Train
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A long-distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100 km/hr, at what speed should it travel to cover the distance in the same amount of time?
Speed Of the Train
Speed is a measure of how quickly an object moves or the rate at which it covers a certain distance. It is usually expressed in units of distance divided by time, such as kilometers per hour (km/hr) or meters per second (m/s).To calculate speed, you can use the formula:
Speed = Distance / Time
Where:
- Distance is the total distance covered by the object.
- Time is the duration it takes to cover that distance.
Solution
Total scheduled time: 19 hours
Journey completed before the disruption: 10 hours
Stationed time due to disruption: 1 hour
Average speed of the train: 100 km/hr
First, we need to calculate the remaining time for the journey after the disruption. Subtracting the time already spent and the time stationed, we have:
Remaining time = Total scheduled time – Time already spent – Stationed time
= 19 hours – 10 hours – 1 hour
= 8 hours
Now, let’s calculate the remaining distance the train needs to cover.
We can do this by multiplying the remaining time by the average speed:
Remaining distance = Remaining time * Average speed
= 8 hours * 100 km/hr
= 800 km
To cover the remaining distance of 800 km in the same amount of time (8 hours),
we can calculate the required speed using the formula:
Required speed = Remaining distance / Remaining time
= 800 km / 8 hours
= 100 km/hr
Therefore, the train should travel at a speed of 100 km/hr to cover the remaining distance in the same amount of time.
Summary
A long-distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100 km/hr, at what speed should it travel to cover the distance in the same amount of time?
A long-distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100 km/hr, it should travel at the speed of 100 km/hr to cover the distance in the same amount of time.
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