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When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed?
- a)140 minutes
- b)120 minutes
- c)100 minutes
- d)80 minutes
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
When the speed of a train is increased by 20%, it takes 20 minutes les...
Suppose the distance be ‘x’ km and speed be ‘n’ km/minutes
⇒ Increased speed = 1.2n
⇒ x/n – x/1.2n = 20
⇒ (0.2x/1.2n) = 20
⇒ x/n = 120 minutes
⇒ Increased speed = 1.2n
⇒ x/n – x/1.2n = 20
⇒ (0.2x/1.2n) = 20
⇒ x/n = 120 minutes
Here ‘x/n’ is the time taken to cover the distance with the original speed.
∴ Train will take 120 minutes to cover the same distance with the original speed.
Most Upvoted Answer
When the speed of a train is increased by 20%, it takes 20 minutes les...
Let's assume the original speed of the train is 'x' km/h.
When the speed of the train is increased by 20%, the new speed becomes 1.2x km/h.
Let's consider the distance to be 'd' km.
We know that time = distance/speed.
So, the time taken to cover the distance with the original speed is given by:
Time1 = d/x
When the speed is increased by 20%, the time taken to cover the same distance is 20 minutes less than the original time.
So, the new time taken is given by:
Time2 = (d/x) - (20/60)
Now, let's equate Time1 and Time2 and solve for 'x'.
d/x = (d/x) - (20/60)
To simplify the equation, we can multiply through by 'x' and 60:
60d = 60d - 20x
Now, let's solve for 'x':
20x = 60d - 60d
20x = 0
x = 0
This means that the original speed of the train is 0 km/h, which is not possible.
Hence, there must be an error in the question or the given information.
Therefore, we cannot determine the time taken to cover the same distance with the original speed based on the given information.
When the speed of the train is increased by 20%, the new speed becomes 1.2x km/h.
Let's consider the distance to be 'd' km.
We know that time = distance/speed.
So, the time taken to cover the distance with the original speed is given by:
Time1 = d/x
When the speed is increased by 20%, the time taken to cover the same distance is 20 minutes less than the original time.
So, the new time taken is given by:
Time2 = (d/x) - (20/60)
Now, let's equate Time1 and Time2 and solve for 'x'.
d/x = (d/x) - (20/60)
To simplify the equation, we can multiply through by 'x' and 60:
60d = 60d - 20x
Now, let's solve for 'x':
20x = 60d - 60d
20x = 0
x = 0
This means that the original speed of the train is 0 km/h, which is not possible.
Hence, there must be an error in the question or the given information.
Therefore, we cannot determine the time taken to cover the same distance with the original speed based on the given information.
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When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed?a)140 minutesb)120 minutesc)100 minutesd)80 minutesCorrect answer is option 'B'. Can you explain this answer?
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