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Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?
  • a)
    53 seconds
  • b)
    47 seconds
  • c)
    51 seconds
  • d)
    45 secon
Correct answer is option 'B'. Can you explain this answer?
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Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town ...
Given Information:
- Distance between hotel and railway station = 250 meters
- Distance between sea-beach and gate of historical ruins = 1 km = 1000 meters
- Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds

To find:
- Time taken by Jagdeep to cover the distance from the railway station to the hotel

Calculating the Speed of Jagdeep and Mandeep:
- Let the speed of Jagdeep be V1 meters/second and the speed of Mandeep be V2 meters/second.
- The time taken by Jagdeep to cover the distance from the sea-beach to the gate of the ruins is the same as the time taken by Mandeep, plus 12 seconds.
- Therefore, (1000/V1) = (1000/V2) + 12

Speed of Jagdeep relative to Mandeep:
- The distance between the sea-beach and the gate of the ruins is 1000 meters.
- Jagdeep defeated Mandeep by 60 meters in the race.
- Therefore, the speed of Jagdeep relative to Mandeep is 60 meters/12 seconds = 5 meters/second.

Calculating the Speed of Jagdeep and Mandeep:
- Let the speed of Mandeep be V meters/second.
- The speed of Jagdeep is V + 5 meters/second.
- The distance between the hotel and the railway station is 250 meters.
- Therefore, the time taken by Jagdeep to cover the distance from the railway station to the hotel is (250 / (V + 5)) seconds.

Substituting the Value of V2 in the Equations:
- From the equation (1000/V1) = (1000/V2) + 12, we can substitute the value of V2 as V + 5.
- Therefore, (1000/V1) = (1000/(V + 5)) + 12

Solving the Equation:
- Cross-multiplying the equation, we get:
1000(V + 5) = 1000V1 + 12V1(V + 5)
1000V + 5000 = 1000V1 + 12V1V + 60V1
12V1V + 60V1 - 1000V = 1000V1 - 5000
12V1V - 940V1 - 5000 = 0

Using the Quadratic Formula:
- The equation 12V1V - 940V1 - 5000 = 0 is a quadratic equation in terms of V1.
- Using the quadratic formula, V1 = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = 12, b = -940, and c = -5000.
- Solving the equation, we get two values of V1: 45 and -37.5.
- Since the speed cannot be negative, the speed of Jagdeep, V1, is 45 meters/second.

Calculating the Time Taken by Jagdeep on the Second Day:
- The distance between the hotel and the railway station is 250 meters.
- Jagdeep's speed is 45 meters/second.
- Therefore, the time taken by Jagdeep to cover the distance from the railway station to the hotel is (250
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Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer?
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Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect 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 Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect 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 Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next morning they visited the sea-beach to witness sunrise and afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?a)53 secondsb)47 secondsc)51 secondsd)45 seconCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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