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A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)
- a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumari
- b)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumari
- c)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumari
- d)35 km/hr towards the Rock & 39 km/hr while returning to Kanyakumari
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A fery carries passengers to Rock of Vivekananda and back from Kanyaku...
15 gallons of water has already entered the ship. 45 more gallons will enter in order for the ship to sink. So it takes 4.5 hours. The ferry has to travel 70 km and return 100 km before it sinks. Speed of stream from Rock memorial to Kanniyakumari is 2 km/hr
Most Upvoted Answer
A fery carries passengers to Rock of Vivekananda and back from Kanyaku...
See this is a question which can be solve by option and that will also come in approx
he has gone for 90 min so distance travelled will be 27 km so
73/(x-2)+100/(y+2)=4.5
now substitute value when you put x = 42 and y=36 the answer will be approx 4.5 and I think it can't be solved without option because it would have multiple answer as value if x change value of y also change because it's not given that boat will travel with same speed both way.
he has gone for 90 min so distance travelled will be 27 km so
73/(x-2)+100/(y+2)=4.5
now substitute value when you put x = 42 and y=36 the answer will be approx 4.5 and I think it can't be solved without option because it would have multiple answer as value if x change value of y also change because it's not given that boat will travel with same speed both way.
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Community Answer
A fery carries passengers to Rock of Vivekananda and back from Kanyaku...
Calculating the time taken to reach the Rock of Vivekananda:
- Time taken to cover 100 km at 20 km/hr = 100/20 = 5 hours
- After 90 minutes (1.5 hours), the crew realized about the hole
- So, remaining time to reach the destination = 5 - 1.5 = 3.5 hours
Calculating the water filled in the ferry:
- Water filled in the ferry after 90 minutes = 15 gallons
- Water entering per hour = 10 gallons
- Total water needed to sink the ferry = 60 gallons
- Remaining water needed to sink the ferry = 60 - 15 = 45 gallons
- Time taken to fill 45 gallons at 10 gallons/hr = 45/10 = 4.5 hours
Calculating the total time available to return back to Kanyakumari:
- Time taken to reach the destination = 5 hours
- Time taken to fill the remaining water = 4.5 hours
- Total time = 5 + 4.5 = 9.5 hours
Calculating the speed for the return journey:
- Distance from Rock of Vivekananda to Kanyakumari = 100 km
- Current of the sea water = 2 km/hr
- Effective speed towards the Rock = 20 km/hr
- Time taken to reach the Rock = 5 hours
- Time taken for the return journey = 9.5 - 5 = 4.5 hours
- Distance for return journey = 100 km + 100 km = 200 km
- Speed towards the Rock = 20 km/hr
- Speed for return journey = (200 + 2*200)/4.5 = 600/4.5 = 133.33 km/hr
- Speed for return journey considering the current = 133.33 - 2 = 131.33 km/hr
Therefore, the driver should now drive the ferry at a speed of 42 km/hr towards the Rock of Vivekananda and 36 km/hr while returning to Kanyakumari to reach just in time before the ferry sinks.
- Time taken to cover 100 km at 20 km/hr = 100/20 = 5 hours
- After 90 minutes (1.5 hours), the crew realized about the hole
- So, remaining time to reach the destination = 5 - 1.5 = 3.5 hours
Calculating the water filled in the ferry:
- Water filled in the ferry after 90 minutes = 15 gallons
- Water entering per hour = 10 gallons
- Total water needed to sink the ferry = 60 gallons
- Remaining water needed to sink the ferry = 60 - 15 = 45 gallons
- Time taken to fill 45 gallons at 10 gallons/hr = 45/10 = 4.5 hours
Calculating the total time available to return back to Kanyakumari:
- Time taken to reach the destination = 5 hours
- Time taken to fill the remaining water = 4.5 hours
- Total time = 5 + 4.5 = 9.5 hours
Calculating the speed for the return journey:
- Distance from Rock of Vivekananda to Kanyakumari = 100 km
- Current of the sea water = 2 km/hr
- Effective speed towards the Rock = 20 km/hr
- Time taken to reach the Rock = 5 hours
- Time taken for the return journey = 9.5 - 5 = 4.5 hours
- Distance for return journey = 100 km + 100 km = 200 km
- Speed towards the Rock = 20 km/hr
- Speed for return journey = (200 + 2*200)/4.5 = 600/4.5 = 133.33 km/hr
- Speed for return journey considering the current = 133.33 - 2 = 131.33 km/hr
Therefore, the driver should now drive the ferry at a speed of 42 km/hr towards the Rock of Vivekananda and 36 km/hr while returning to Kanyakumari to reach just in time before the ferry sinks.
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A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer?
Question Description
A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect 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 A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect 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 A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer?.
A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect 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 A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect 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 A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect 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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Here you can find the meaning of A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A fery carries passengers to Rock of Vivekananda and back from Kanyakumari. The distance of Rock of Vivekananda from Kanyakumari is 100km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minutes, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanyakumari just in time before the ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanyakumari is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanyakumarib)41 km/hr towards the Rock & 38 km/hr while returning to Kanyakumaric)42 km/hr towards the Rock & 36 km/hr while returning to Kanyakumarid)35 km/hr towards the Rock & 39 km/hr while returning to KanyakumariCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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