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Solve the following question and mark the best possible option.
Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.
- a)40 minutes
- b)48 minutes
- c)24 minutes
- d)36 minutes
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Solve the following question and mark the best possible option.Ajay an...
In the calculation of relative speeds, the effect of the speed of current will be nullified. Hence, it will be similar to the situation of them travelling on the ground.
∴ The time taken by them, even when they swap their directions, is 48 minutes only.
Most Upvoted Answer
Solve the following question and mark the best possible option.Ajay an...
In the calculation of relative speeds, the effect of the speed of current will be nullified. Hence, it will be similar to the situation of them travelling on the ground.
∴ The time taken by them, even when they swap their directions, is 48 minutes only.
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Community Answer
Solve the following question and mark the best possible option.Ajay an...
Let's solve the problem step by step:
Given Information:
- Ajay and Rohit start from points A and B on a river and head towards each other.
- If they were traveling in still water, they would have met at a point C, which is twice as distant from A as it is from B.
- If Ajay had been traveling along the current and Rohit against it, they would have met in 48 minutes.
Step 1: Understanding the Scenario
Let's assume the speed of Ajay in still water as v1 and the speed of Rohit in still water as v2. The speed of the river current is v.
Step 2: Meeting Point in Still Water
Since Ajay and Rohit would have met at point C if they were traveling in still water, we can use the concept of relative speed to find the ratio of their speeds.
The distance between A and C is twice the distance between C and B. Let's assume the distance between A and C as 2x and the distance between C and B as x.
In still water, their relative speed is (v1 + v2). The time taken to cover the distance 2x at a speed of (v1 + v2) is given by (2x / (v1 + v2)).
Step 3: Meeting Point with Different Directions
If Ajay travels along the current and Rohit against it, their effective speeds will be (v1 + v) and (v2 - v), respectively. The time taken to meet at point C in this scenario is given as 48 minutes.
Using the concept of relative speed again, the total distance covered by Ajay and Rohit is 2x, and their relative speed is (v1 + v + v2 - v) = (v1 + v2). Therefore, the time taken to cover the distance 2x at a relative speed of (v1 + v2) is 48 minutes.
Step 4: Calculating the Time Taken to Meet
We have two equations:
- 2x / (v1 + v2) = 48 (equation 1)
- 2x / (v1 + v2) = t (let's assume the time taken to meet when Ajay travels against the current and Rohit along the current is t)
Since the left-hand sides of both equations are the same, the right-hand sides must also be equal. Therefore, 48 = t.
Step 5: Final Answer
The time taken to meet when Ajay travels against the current and Rohit along the current is 48 minutes, as calculated in step 4.
Therefore, the correct answer is option B) 48 minutes.
Given Information:
- Ajay and Rohit start from points A and B on a river and head towards each other.
- If they were traveling in still water, they would have met at a point C, which is twice as distant from A as it is from B.
- If Ajay had been traveling along the current and Rohit against it, they would have met in 48 minutes.
Step 1: Understanding the Scenario
Let's assume the speed of Ajay in still water as v1 and the speed of Rohit in still water as v2. The speed of the river current is v.
Step 2: Meeting Point in Still Water
Since Ajay and Rohit would have met at point C if they were traveling in still water, we can use the concept of relative speed to find the ratio of their speeds.
The distance between A and C is twice the distance between C and B. Let's assume the distance between A and C as 2x and the distance between C and B as x.
In still water, their relative speed is (v1 + v2). The time taken to cover the distance 2x at a speed of (v1 + v2) is given by (2x / (v1 + v2)).
Step 3: Meeting Point with Different Directions
If Ajay travels along the current and Rohit against it, their effective speeds will be (v1 + v) and (v2 - v), respectively. The time taken to meet at point C in this scenario is given as 48 minutes.
Using the concept of relative speed again, the total distance covered by Ajay and Rohit is 2x, and their relative speed is (v1 + v + v2 - v) = (v1 + v2). Therefore, the time taken to cover the distance 2x at a relative speed of (v1 + v2) is 48 minutes.
Step 4: Calculating the Time Taken to Meet
We have two equations:
- 2x / (v1 + v2) = 48 (equation 1)
- 2x / (v1 + v2) = t (let's assume the time taken to meet when Ajay travels against the current and Rohit along the current is t)
Since the left-hand sides of both equations are the same, the right-hand sides must also be equal. Therefore, 48 = t.
Step 5: Final Answer
The time taken to meet when Ajay travels against the current and Rohit along the current is 48 minutes, as calculated in step 4.
Therefore, the correct answer is option B) 48 minutes.
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Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer?
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Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. 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 Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer?.
Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. 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 Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solve the following question and mark the best possible option.Ajay and Rohit start from two points A and B respectively on a river and head towards each other. Had they been travelling in still water, they would have met at a point C, which is twice as distant from A as it is from B. If Ajay had been travelling along the current and Rohit against it, then they would have met in 48 minutes. Find the time they would take to meet, if Ajay were to travel against the current and Rohit along the current.a)40 minutesb)48 minutesc)24 minutesd)36 minutesCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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