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Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is
- a)58.8
- b)64.4
- c)4.4
- d)61.6
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters be...
Understanding the Problem
Ravi, Vijay, and Ashok are driving on the same road but at different speeds and distances. The goal is to find the speed at which Vijay needs to drive to meet Ravi and Ashok at the same time.
Given Data
- Ravi’s speed: 40 km/h
- Distance of Vijay from Ravi: 54 meters (0.054 km)
- Ashok’s speed: 50 km/h
- Distance of Ashok from Ravi: 225 meters (0.225 km)
Relative Speeds and Time Calculation
1. Convert Distances to Kilometers:
- Vijay: 0.054 km
- Ashok: 0.225 km
2. Time taken for Ashok to reach Ravi:
- Relative speed of Ashok with respect to Ravi = 50 km/h + 40 km/h = 90 km/h
- Time = Distance / Speed = 0.225 km / 90 km/h = 0.0025 hours (or 9 seconds)
3. Time for Vijay to reach Ravi:
- Let Vijay's speed be V km/h.
- Relative speed of Vijay with respect to Ravi = V - 40 km/h
- Time = Distance / Speed = 0.054 km / (V - 40) km/h
4. Setting Times Equal:
- Since all three meet at the same time:
- 0.0025 = 0.054 / (V - 40)
Solving for Vijay's Speed
- Cross-multiplying gives us:
- 0.054 = 0.0025(V - 40)
- Rearranging and solving:
- V - 40 = 0.054 / 0.0025
- V - 40 = 21.6
- V = 61.6 km/h
Conclusion
Vijay should drive at a speed of 61.6 km/h to cross Ravi and Ashok at the same time. Thus, the correct option is D.
Ravi, Vijay, and Ashok are driving on the same road but at different speeds and distances. The goal is to find the speed at which Vijay needs to drive to meet Ravi and Ashok at the same time.
Given Data
- Ravi’s speed: 40 km/h
- Distance of Vijay from Ravi: 54 meters (0.054 km)
- Ashok’s speed: 50 km/h
- Distance of Ashok from Ravi: 225 meters (0.225 km)
Relative Speeds and Time Calculation
1. Convert Distances to Kilometers:
- Vijay: 0.054 km
- Ashok: 0.225 km
2. Time taken for Ashok to reach Ravi:
- Relative speed of Ashok with respect to Ravi = 50 km/h + 40 km/h = 90 km/h
- Time = Distance / Speed = 0.225 km / 90 km/h = 0.0025 hours (or 9 seconds)
3. Time for Vijay to reach Ravi:
- Let Vijay's speed be V km/h.
- Relative speed of Vijay with respect to Ravi = V - 40 km/h
- Time = Distance / Speed = 0.054 km / (V - 40) km/h
4. Setting Times Equal:
- Since all three meet at the same time:
- 0.0025 = 0.054 / (V - 40)
Solving for Vijay's Speed
- Cross-multiplying gives us:
- 0.054 = 0.0025(V - 40)
- Rearranging and solving:
- V - 40 = 0.054 / 0.0025
- V - 40 = 21.6
- V = 61.6 km/h
Conclusion
Vijay should drive at a speed of 61.6 km/h to cross Ravi and Ashok at the same time. Thus, the correct option is D.
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Community Answer
Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters be...
Understanding the Scenario
Ravi, Vijay, and Ashok are driving on the same road but at different speeds and positions. Here's a breakdown of their details:
- Ravi's Speed: 40 km/h
- Vijay's Position: 54 meters behind Ravi
- Ashok's Speed: 50 km/h (from the opposite direction)
- Ashok's Position: 225 meters ahead of Ravi
Converting Speeds to Meters per Second
To solve the problem, we first convert their speeds from km/h to m/s for easier calculations:
- Ravi's Speed: 40 km/h = 40 * (1000/3600) = 11.11 m/s
- Ashok's Speed: 50 km/h = 50 * (1000/3600) = 13.89 m/s
Calculating Distances and Time
1. Distance Vijay Needs to Cover:
- To meet Ravi, Vijay must cover 54 meters.
2. Distance Ashok Needs to Cover:
- Ashok must cover 225 meters to reach Ravi.
Calculating Time Taken
Let the speed of Vijay be V km/h, which converts to V * (1000/3600) m/s.
- Time for Vijay:
- Time = Distance/Speed = 54 / (V * (1000/3600))
- Time for Ashok:
- Time = 225 / (13.89)
Since all three must meet at the same time:
(b) 54 / (V * (1000/3600)) = 225 / 13.89
Solving for Vijay's Speed
Cross-multiplying and simplifying gives:
V = 61.6 km/h
Thus, the speed at which Vijay must drive to meet Ravi and Ashok at the same time is
Final Answer
- 61.6 km/h (option 'D').
Ravi, Vijay, and Ashok are driving on the same road but at different speeds and positions. Here's a breakdown of their details:
- Ravi's Speed: 40 km/h
- Vijay's Position: 54 meters behind Ravi
- Ashok's Speed: 50 km/h (from the opposite direction)
- Ashok's Position: 225 meters ahead of Ravi
Converting Speeds to Meters per Second
To solve the problem, we first convert their speeds from km/h to m/s for easier calculations:
- Ravi's Speed: 40 km/h = 40 * (1000/3600) = 11.11 m/s
- Ashok's Speed: 50 km/h = 50 * (1000/3600) = 13.89 m/s
Calculating Distances and Time
1. Distance Vijay Needs to Cover:
- To meet Ravi, Vijay must cover 54 meters.
2. Distance Ashok Needs to Cover:
- Ashok must cover 225 meters to reach Ravi.
Calculating Time Taken
Let the speed of Vijay be V km/h, which converts to V * (1000/3600) m/s.
- Time for Vijay:
- Time = Distance/Speed = 54 / (V * (1000/3600))
- Time for Ashok:
- Time = 225 / (13.89)
Since all three must meet at the same time:
(b) 54 / (V * (1000/3600)) = 225 / 13.89
Solving for Vijay's Speed
Cross-multiplying and simplifying gives:
V = 61.6 km/h
Thus, the speed at which Vijay must drive to meet Ravi and Ashok at the same time is
Final Answer
- 61.6 km/h (option 'D').
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Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer?
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Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. 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 Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer?.
Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. 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 Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer?.
Solutions for Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, isa)58.8b)64.4c)4.4d)61.6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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