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Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?
- a)13.25 hours
- b)10.12 hours
- c)14.04 hours
- d)16.54 hours
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow toward...
Let Rahul’s and Ram's speed be a km/hr and Avinash’s speed be b km/hr.
Ram travelled 7.5a km and Rahul travelled 6a km before they met each other.
7.5 a + 6a = 864
a = 64 km/hr
Also when Rahul met Avinash,
7.25 a + 6.55 = 864
(7.25 x 64) + 6.55 = 864
5 = 400/6.5 km/hr
The time taken by Avinash to reach Ahmedabad from Lucknow = 864 x 6.5/400 = 14.04 hours
Hence, option 3.
Ram travelled 7.5a km and Rahul travelled 6a km before they met each other.
7.5 a + 6a = 864
a = 64 km/hr
Also when Rahul met Avinash,
7.25 a + 6.55 = 864
(7.25 x 64) + 6.55 = 864
5 = 400/6.5 km/hr
The time taken by Avinash to reach Ahmedabad from Lucknow = 864 x 6.5/400 = 14.04 hours
Hence, option 3.
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Community Answer
Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow toward...
To solve this problem, let's analyze the information given step by step:
- Distance between Ahmedabad and Lucknow: 864 km
- Starting time of Ram from Lucknow: 7 a.m.
- Starting time of Rahul from Ahmedabad: 8.30 a.m.
- Starting time of Avinash from Lucknow: 9.15 a.m.
- Rahul meets Ram at: 2.30 p.m.
- Rahul meets Avinash at: 3.45 p.m.
We need to find the time taken by Avinash to reach Ahmedabad.
Let's calculate the time taken by Rahul to meet Ram:
- Rahul meets Ram at 2.30 p.m., which means they have been traveling for 6 hours and 30 minutes.
- Since Rahul started at 8.30 a.m., Ram must have started 1.5 hours earlier at 7 a.m.
- Therefore, Ram has been traveling for 7 hours and 30 minutes.
Now, let's calculate the time taken by Avinash to meet Rahul:
- Avinash meets Rahul at 3.45 p.m., which means they have been traveling for 6 hours.
- Since Avinash started at 9.15 a.m., Rahul must have started 1.5 hours earlier at 7.45 a.m.
- Therefore, Rahul has been traveling for 7 hours.
Now, let's calculate the time taken by Avinash to reach Ahmedabad:
- Avinash meets Rahul at 3.45 p.m., which means they have been traveling together for 6 hours.
- Since Avinash started at 9.15 a.m., he has been traveling for 6 hours and 30 minutes.
- Therefore, Avinash takes a total of 6 hours and 30 minutes to reach Ahmedabad.
Converting the time to hours:
- 6 hours and 30 minutes is equivalent to 6.5 hours.
Therefore, the time taken by Avinash to reach Ahmedabad is 6.5 hours, which is option C) 14.04 hours.
- Distance between Ahmedabad and Lucknow: 864 km
- Starting time of Ram from Lucknow: 7 a.m.
- Starting time of Rahul from Ahmedabad: 8.30 a.m.
- Starting time of Avinash from Lucknow: 9.15 a.m.
- Rahul meets Ram at: 2.30 p.m.
- Rahul meets Avinash at: 3.45 p.m.
We need to find the time taken by Avinash to reach Ahmedabad.
Let's calculate the time taken by Rahul to meet Ram:
- Rahul meets Ram at 2.30 p.m., which means they have been traveling for 6 hours and 30 minutes.
- Since Rahul started at 8.30 a.m., Ram must have started 1.5 hours earlier at 7 a.m.
- Therefore, Ram has been traveling for 7 hours and 30 minutes.
Now, let's calculate the time taken by Avinash to meet Rahul:
- Avinash meets Rahul at 3.45 p.m., which means they have been traveling for 6 hours.
- Since Avinash started at 9.15 a.m., Rahul must have started 1.5 hours earlier at 7.45 a.m.
- Therefore, Rahul has been traveling for 7 hours.
Now, let's calculate the time taken by Avinash to reach Ahmedabad:
- Avinash meets Rahul at 3.45 p.m., which means they have been traveling together for 6 hours.
- Since Avinash started at 9.15 a.m., he has been traveling for 6 hours and 30 minutes.
- Therefore, Avinash takes a total of 6 hours and 30 minutes to reach Ahmedabad.
Converting the time to hours:
- 6 hours and 30 minutes is equivalent to 6.5 hours.
Therefore, the time taken by Avinash to reach Ahmedabad is 6.5 hours, which is option C) 14.04 hours.
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Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer?
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Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer?.
Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Ahmedabad and Lucknow are 864 km apart. Ram starts from Lucknow towards Ahmedabad at 7 a.m. Rahul travels from Ahmedabad towards Lucknow at the same speed as Ram, starting at 8.30 a.m. Avinash starts from Lucknow towards Ahmedabad at 9.15 a.m. Rahul meets Ram at 2.30 p.m. and meets Avinash at 3.45 p.m. What is the time taken by Avinash to reach Ahmedabad?a)13.25 hoursb)10.12 hoursc)14.04 hoursd)16.54 hoursCorrect 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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