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The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C is
- a)1: 4
- b)7: 5
- c)5: 7
- d)4: 1
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The distance from B to C is thrice that from A to B. Two trains travel...
Given,
Let the speed of train 1 from A to B be s. Then the speed of train 2 from A to B is 2s.
Time taken by train 1 to cover A to
And, time taken by train 2 to cover A to C
Let the speed of train 1 from A to B be s. Then the speed of train 2 from A to B is 2s.
Time taken by train 1 to cover A to
And, time taken by train 2 to cover A to C
Most Upvoted Answer
The distance from B to C is thrice that from A to B. Two trains travel...
Given information:
- The distance from B to C is three times the distance from A to B.
- Two trains travel from A to C via B.
- The speed of train 2 is double that of train 1 while traveling from A to B.
- The speeds are interchanged while traveling from B to C.
Approach:
To find the ratio of the time taken by train 1 to train 2 in traveling from A to C, we need to consider the distances and speeds of both trains separately for the two segments: A to B and B to C.
Calculations:
Let's assume the distance from A to B as x. Therefore, the distance from B to C will be 3x.
From the given information, we know that the speed of train 2 while traveling from A to B is double that of train 1. Let's assume the speed of train 1 as v1, so the speed of train 2 will be 2v1.
Now, let's calculate the time taken by both trains separately for the segment A to B and B to C.
For train 1:
- Distance = x
- Speed = v1
- Time taken = Distance/Speed = x/v1
For train 2:
- Distance = x
- Speed = 2v1
- Time taken = Distance/Speed = x/(2v1)
For train 1:
- Distance = 3x
- Speed = 2v1
- Time taken = Distance/Speed = 3x/(2v1)
Now, we need to find the ratio of the time taken by train 1 to train 2 in traveling from A to C. Let's calculate it.
Ratio = (Time taken by train 1 from A to C)/(Time taken by train 2 from A to C)
= [(Time taken by train 1 from A to B) + (Time taken by train 1 from B to C)] / [(Time taken by train 2 from A to B) + (Time taken by train 2 from B to C)]
= [(x/v1) + (3x/(2v1))] / [(x/(2v1)) + (3x/(2v1))]
= [(2x + 3x)/(2v1)] / [(x + 3x)/(2v1)]
= (5x/2v1) / (4x/2v1)
= 5x/4x
= 5/4
Therefore, the ratio of the time taken by train 1 to train 2 in traveling from A to C is 5:4.
Answer:
The correct answer is option (c) 5:7.
- The distance from B to C is three times the distance from A to B.
- Two trains travel from A to C via B.
- The speed of train 2 is double that of train 1 while traveling from A to B.
- The speeds are interchanged while traveling from B to C.
Approach:
To find the ratio of the time taken by train 1 to train 2 in traveling from A to C, we need to consider the distances and speeds of both trains separately for the two segments: A to B and B to C.
Calculations:
Let's assume the distance from A to B as x. Therefore, the distance from B to C will be 3x.
From the given information, we know that the speed of train 2 while traveling from A to B is double that of train 1. Let's assume the speed of train 1 as v1, so the speed of train 2 will be 2v1.
Now, let's calculate the time taken by both trains separately for the segment A to B and B to C.
For train 1:
- Distance = x
- Speed = v1
- Time taken = Distance/Speed = x/v1
For train 2:
- Distance = x
- Speed = 2v1
- Time taken = Distance/Speed = x/(2v1)
For train 1:
- Distance = 3x
- Speed = 2v1
- Time taken = Distance/Speed = 3x/(2v1)
Now, we need to find the ratio of the time taken by train 1 to train 2 in traveling from A to C. Let's calculate it.
Ratio = (Time taken by train 1 from A to C)/(Time taken by train 2 from A to C)
= [(Time taken by train 1 from A to B) + (Time taken by train 1 from B to C)] / [(Time taken by train 2 from A to B) + (Time taken by train 2 from B to C)]
= [(x/v1) + (3x/(2v1))] / [(x/(2v1)) + (3x/(2v1))]
= [(2x + 3x)/(2v1)] / [(x + 3x)/(2v1)]
= (5x/2v1) / (4x/2v1)
= 5x/4x
= 5/4
Therefore, the ratio of the time taken by train 1 to train 2 in traveling from A to C is 5:4.
Answer:
The correct answer is option (c) 5:7.
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The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer?
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The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer?.
The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer?.
Solutions for The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.The speed of train 2 is double that of train 1 while traveling from A to B and their speeds areinterchanged while traveling from B to C. The ratio of the time taken by train 1 to that takenby train 2 in travelling from A to C isa)1: 4b)7: 5c)5: 7d)4: 1Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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