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A train is moving at a speed of 72 km/h and covers a certain distance in 6 hours. If the same distance is to be covered in 8 hours, then what will be the speed (in km/h) of the train?
- a)45
- b)54
- c)63
- d)64
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A train is moving at a speed of 72 km/h and covers a certain distance ...
Distance = speed × Time
Let the distance be ‘X’
X = 72 × 6 = 432
Now, same distance is to covered in 8 hours
432 = speed × 8
Let the distance be ‘X’
X = 72 × 6 = 432
Now, same distance is to covered in 8 hours
432 = speed × 8
Most Upvoted Answer
A train is moving at a speed of 72 km/h and covers a certain distance ...
Given Information:
- Speed of the train = 72 km/h
- Time taken to cover a certain distance = 6 hours
To find:
- Speed of the train to cover the same distance in 8 hours.
Solution:
To find the speed of the train to cover the same distance in 8 hours, we can use the formula:
Speed = Distance/Time
Let's assume the distance to be covered is 'd' km.
Speed of the train to cover the distance in 6 hours:
Speed = d/6
Speed of the train to cover the distance in 8 hours:
Speed = d/8
Since the distance is the same in both cases, we can equate the two speeds:
d/6 = d/8
Now, let's solve the equation to find the value of 'd':
Multiply both sides of the equation by 6*8 to eliminate the denominators:
8d = 6d
Subtract 6d from both sides:
8d - 6d = 6d - 6d
2d = 0
Divide both sides by 2:
d = 0/2
d = 0
Since the distance is 0, it means the train is not moving. This is not possible, so there seems to be some mistake in the question.
If the distance is not 0, then there must be some error in the given information or options provided.
Therefore, we cannot determine the correct answer based on the given information.
- Speed of the train = 72 km/h
- Time taken to cover a certain distance = 6 hours
To find:
- Speed of the train to cover the same distance in 8 hours.
Solution:
To find the speed of the train to cover the same distance in 8 hours, we can use the formula:
Speed = Distance/Time
Let's assume the distance to be covered is 'd' km.
Speed of the train to cover the distance in 6 hours:
Speed = d/6
Speed of the train to cover the distance in 8 hours:
Speed = d/8
Since the distance is the same in both cases, we can equate the two speeds:
d/6 = d/8
Now, let's solve the equation to find the value of 'd':
Multiply both sides of the equation by 6*8 to eliminate the denominators:
8d = 6d
Subtract 6d from both sides:
8d - 6d = 6d - 6d
2d = 0
Divide both sides by 2:
d = 0/2
d = 0
Since the distance is 0, it means the train is not moving. This is not possible, so there seems to be some mistake in the question.
If the distance is not 0, then there must be some error in the given information or options provided.
Therefore, we cannot determine the correct answer based on the given information.
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A train is moving at a speed of 72 km/h and covers a certain distance in 6 hours. If the same distance is to be covered in 8 hours, then what will be the speed (in km/h) of the train?a)45b)54c)63d)64Correct answer is option 'B'. Can you explain this answer?
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