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Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
- a)2 : 3
- b)4 : 3
- c)6 : 7
- d)9 : 16
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two trains, one from Howrah to Patna and the other from Patna to Howra...
Given data:
Train from Howrah to Patna reaches its destination after they meet in 9 hours.
Train from Patna to Howrah reaches its destination after they meet in 16 hours.
Train from Patna to Howrah reaches its destination after they meet in 16 hours.
Solution:
Let the speed of the train from Howrah to Patna be S1 and the one from Patna to Howrah be S2.
We know that the speeds are in the ratio of the square roots of the times taken to reach their destinations after they meet.
We know that the speeds are in the ratio of the square roots of the times taken to reach their destinations after they meet.
⇒ S1/S2 = √time taken by Train 2 / √time taken by Train 1
⇒ S1/S2 = √16 / √9
⇒ S1/S2 = 4 / 3
Therefore: The ratio of their speeds is 4 : 3.
⇒ S1/S2 = √16 / √9
⇒ S1/S2 = 4 / 3
Therefore: The ratio of their speeds is 4 : 3.
Thus, option (2) is the correct answer.
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Community Answer
Two trains, one from Howrah to Patna and the other from Patna to Howra...
Given Information:
- Two trains start simultaneously from Howrah to Patna and from Patna to Howrah.
- The train from Howrah to Patna reaches its destination after 9 hours.
- The train from Patna to Howrah reaches its destination after 16 hours.
Approach:
To find the ratio of their speeds, we can use the formula: Speed = Distance/Time.
Since the distance between Howrah and Patna is the same for both trains, we can compare their speeds based on the time taken to reach their destinations.
Calculation:
Let's assume the speeds of the trains from Howrah to Patna and from Patna to Howrah are S1 and S2 respectively.
- Distance from Howrah to Patna = Distance from Patna to Howrah (d)
- Speed of the train from Howrah to Patna = S1
- Speed of the train from Patna to Howrah = S2
Train from Howrah to Patna:
- Time taken = 9 hours
- Speed = Distance/Time = d/9
Train from Patna to Howrah:
- Time taken = 16 hours
- Speed = Distance/Time = d/16
Since both trains travel the same distance, we can equate their speeds:
d/9 = d/16
To solve this equation, we can cross-multiply:
16d = 9d
Dividing both sides by d:
16 = 9
This is not possible, so there must be an error in the question or the given options. None of the provided options are correct.
Therefore, we cannot determine the ratio of their speeds based on the given information.
- Two trains start simultaneously from Howrah to Patna and from Patna to Howrah.
- The train from Howrah to Patna reaches its destination after 9 hours.
- The train from Patna to Howrah reaches its destination after 16 hours.
Approach:
To find the ratio of their speeds, we can use the formula: Speed = Distance/Time.
Since the distance between Howrah and Patna is the same for both trains, we can compare their speeds based on the time taken to reach their destinations.
Calculation:
Let's assume the speeds of the trains from Howrah to Patna and from Patna to Howrah are S1 and S2 respectively.
- Distance from Howrah to Patna = Distance from Patna to Howrah (d)
- Speed of the train from Howrah to Patna = S1
- Speed of the train from Patna to Howrah = S2
Train from Howrah to Patna:
- Time taken = 9 hours
- Speed = Distance/Time = d/9
Train from Patna to Howrah:
- Time taken = 16 hours
- Speed = Distance/Time = d/16
Since both trains travel the same distance, we can equate their speeds:
d/9 = d/16
To solve this equation, we can cross-multiply:
16d = 9d
Dividing both sides by d:
16 = 9
This is not possible, so there must be an error in the question or the given options. None of the provided options are correct.
Therefore, we cannot determine the ratio of their speeds based on the given information.
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Question Description
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer?.
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds isa)2 : 3 b)4 : 3 c)6 : 7 d)9 : 16Correct answer is option 'B'. Can you explain this answer?.
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