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Two trains A and B are running between two points. If the speed of train A is 50% more than the speed of train B. To cover that distance, A takes 15 minutes less than B. If A covered double the distance when B covers the same distance as earlier then he takes 18 minutes more than B. How much time will train A take to cover the distance.
- a)30 minutes
- b)33 minutes
- c)40 minutes
- d)45 minutes
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two trains A and B are running between two points. If the speed of tra...
Given
Speed of train A = 150% of Speed of train B
Time taken by train A = Ta
Time taken by train B = Tb
⇒ Tb – Ta = 15 minutes …(i)
If train A takes ‘Ta’ time to travel a distance, it will take ‘2Ta’ time to travel double the distance
⇒ 2Ta – Tb = 18 minutes …(ii)
Adding (i) and (ii),
⇒ Ta = 33 minutes
∴ The train A will cover the distance in 33 minutes.
Speed of train A = 150% of Speed of train B
Time taken by train A = Ta
Time taken by train B = Tb
⇒ Tb – Ta = 15 minutes …(i)
If train A takes ‘Ta’ time to travel a distance, it will take ‘2Ta’ time to travel double the distance
⇒ 2Ta – Tb = 18 minutes …(ii)
Adding (i) and (ii),
⇒ Ta = 33 minutes
∴ The train A will cover the distance in 33 minutes.
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Community Answer
Two trains A and B are running between two points. If the speed of tra...
Given Information:
- Speed of train A is 50% more than the speed of train B
- Train A takes 15 minutes less than B to cover the distance
- When A covers double the distance of B, it takes 18 minutes more than B
Calculations:
Let the speed of train B be x km/hr.
Then, the speed of train A would be 1.5x km/hr (50% more than B).
Case 1:
When both trains cover the same distance:
Let the distance be D and the time taken by B to cover this distance be T hours.
- Time taken by A = T - 15/60 hours
- Time taken by B = T hours
D = x * T (for B)
D = 1.5x * (T - 15/60) (for A)
Case 2:
When A covers double the distance of B:
Let the distance be 2D and the time taken by B to cover this distance be T' hours.
- Time taken by A = T' hours
- Time taken by B = T' - 18/60 hours
2D = 1.5x * T' (for A)
2D = x * (T' - 18/60) (for B)
Solving the equations:
From Case 1:
x * T = 1.5x * (T - 15/60)
T = 0.5 hours
From Case 2:
2D = 1.5x * T'
2D = x * (T' - 18/60)
T' = 1 hour
Therefore, train A takes T' = 1 hour or 60 minutes to cover the distance.
So, the correct answer is option B) 33 minutes.
- Speed of train A is 50% more than the speed of train B
- Train A takes 15 minutes less than B to cover the distance
- When A covers double the distance of B, it takes 18 minutes more than B
Calculations:
Let the speed of train B be x km/hr.
Then, the speed of train A would be 1.5x km/hr (50% more than B).
Case 1:
When both trains cover the same distance:
Let the distance be D and the time taken by B to cover this distance be T hours.
- Time taken by A = T - 15/60 hours
- Time taken by B = T hours
D = x * T (for B)
D = 1.5x * (T - 15/60) (for A)
Case 2:
When A covers double the distance of B:
Let the distance be 2D and the time taken by B to cover this distance be T' hours.
- Time taken by A = T' hours
- Time taken by B = T' - 18/60 hours
2D = 1.5x * T' (for A)
2D = x * (T' - 18/60) (for B)
Solving the equations:
From Case 1:
x * T = 1.5x * (T - 15/60)
T = 0.5 hours
From Case 2:
2D = 1.5x * T'
2D = x * (T' - 18/60)
T' = 1 hour
Therefore, train A takes T' = 1 hour or 60 minutes to cover the distance.
So, the correct answer is option B) 33 minutes.
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Two trains A and B are running between two points. If the speed of train A is 50% more than the speed of train B. To cover that distance, A takes 15 minutes less than B. If A covered double the distance when B covers the same distance as earlier then he takes 18 minutes more than B. How much time will train A take to cover the distance.a)30 minutesb)33 minutesc)40 minutesd)45 minutesCorrect answer is option 'B'. Can you explain this answer?
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