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Without any stoppages average speed of a train is 42 km/hr with stoppages average speed reduce to 28 km/hr. Find the total time of stoppages in 1 hr.
- a)20 min.
- b)30 min
- c)10 min.
- d)15 min.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Without any stoppages average speed of a train is 42 km/hr with stoppa...
Given:
Average speed of train without stoppages = 42 km/hr
Average speed of train with stoppages = 28 km/hr
To find:
Total time of stoppages in 1 hr
Solution:
Let's assume that the distance travelled by the train in both cases is the same.
Let the distance be 'd' km.
Time taken to travel the distance without stoppages = d/42 hr
Time taken to travel the same distance with stoppages = d/28 hr
Let the total time of stoppages in 1 hr be 't' hr.
We know that,
Speed = Distance/Time
Without stoppages:
42 = d/(d/42)
d = 42^2
With stoppages:
28 = d/(d/28 + t)
d = (28 + 28t)
Equating both the values of 'd', we get:
42^2 = 28 + 28t
t = (42^2 - 28)/28
t = 20 minutes
Therefore, the total time of stoppages in 1 hr is 20 minutes or option (a) is the correct answer.
Average speed of train without stoppages = 42 km/hr
Average speed of train with stoppages = 28 km/hr
To find:
Total time of stoppages in 1 hr
Solution:
Let's assume that the distance travelled by the train in both cases is the same.
Let the distance be 'd' km.
Time taken to travel the distance without stoppages = d/42 hr
Time taken to travel the same distance with stoppages = d/28 hr
Let the total time of stoppages in 1 hr be 't' hr.
We know that,
Speed = Distance/Time
Without stoppages:
42 = d/(d/42)
d = 42^2
With stoppages:
28 = d/(d/28 + t)
d = (28 + 28t)
Equating both the values of 'd', we get:
42^2 = 28 + 28t
t = (42^2 - 28)/28
t = 20 minutes
Therefore, the total time of stoppages in 1 hr is 20 minutes or option (a) is the correct answer.
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Without any stoppages average speed of a train is 42 km/hr with stoppages average speed reduce to 28 km/hr. Find the total time of stoppages in 1 hr.a)20 min.b)30 minc)10 min.d)15 min.Correct answer is option 'A'. Can you explain this answer?
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