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Excluding stoppages, a train can travel with a speed of 60km/hr but with stoppages it can travel at an average 45km/hr. For how many minutes the train stops in one hour.
- a)10min
- b)12min
- c)15min
- d)18min
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Excluding stoppages, a train can travel with a speed of 60km/hr but wi...
due to stoppages 15km less is travel by train so,
15 = 60*t, t = 15 minutes – train stops in one hour
15 = 60*t, t = 15 minutes – train stops in one hour
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Excluding stoppages, a train can travel with a speed of 60km/hr but wi...
Problem Statement:
Excluding stoppages, a train can travel with a speed of 60km/hr but with stoppages it can travel at an average 45km/hr. For how many minutes the train stops in one hour.
Solution:
Let's assume that the train stops for 'x' minutes in one hour.
When the train is traveling without stoppages, its speed is 60 km/hr.
So, in one hour, the train can cover a distance of 60 km.
When the train is traveling with stoppages, its speed is 45 km/hr.
So, in one hour, the train can cover a distance of 45 km.
The difference in distance covered in both cases is due to the time the train stops at various stations.
Let's calculate the time the train stops at various stations.
Let's assume the total distance traveled by the train is 'd' km.
When the train is traveling with stoppages, it covers 'd' km in one hour, which means it travels for (60 minutes) = 60 minutes.
When the train is traveling without stoppages, it covers 'd' km in (d/60) hours, which means it travels for (d/60)*60 = d minutes.
Now we can write the equation as:
d = 45 * 60 + x
d = 60 * (60 - x)
Solving these equations, we get:
x = 15 minutes
Therefore, the train stops for 15 minutes in one hour.
Answer: Option (c) 15 minutes.
Excluding stoppages, a train can travel with a speed of 60km/hr but with stoppages it can travel at an average 45km/hr. For how many minutes the train stops in one hour.
Solution:
Let's assume that the train stops for 'x' minutes in one hour.
When the train is traveling without stoppages, its speed is 60 km/hr.
So, in one hour, the train can cover a distance of 60 km.
When the train is traveling with stoppages, its speed is 45 km/hr.
So, in one hour, the train can cover a distance of 45 km.
The difference in distance covered in both cases is due to the time the train stops at various stations.
Let's calculate the time the train stops at various stations.
Let's assume the total distance traveled by the train is 'd' km.
When the train is traveling with stoppages, it covers 'd' km in one hour, which means it travels for (60 minutes) = 60 minutes.
When the train is traveling without stoppages, it covers 'd' km in (d/60) hours, which means it travels for (d/60)*60 = d minutes.
Now we can write the equation as:
d = 45 * 60 + x
d = 60 * (60 - x)
Solving these equations, we get:
x = 15 minutes
Therefore, the train stops for 15 minutes in one hour.
Answer: Option (c) 15 minutes.
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Community Answer
Excluding stoppages, a train can travel with a speed of 60km/hr but wi...
15min because the train will travel 1km in 1min so train stoppage is 15min
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