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Arun and Aruna started from Udaipur at same time running in opposite
directions, towards Delhi and Tamil Nadu respectively. After reaching their respective destination,
they again decided to meet, so Arun meets Aruna after travelling 48 km from Udaipur. Distance
between Delhi and Tamil Nadu is 240 km, while distance between Tamil Nadu and Udaipur is
(190 + R)/2 km. The respective speed ratio of Arun and Aruna is 3:2?
Most Upvoted Answer
Arun and Aruna started from Udaipur at same time running in opposite d...
- **Understanding the Problem**
Arun and Aruna start from Udaipur and run in opposite directions towards Delhi and Tamil Nadu respectively. They decide to meet after Arun travels 48 km. We are given the distances between Delhi and Tamil Nadu, as well as between Tamil Nadu and Udaipur, along with the speed ratio of Arun and Aruna. We need to find the total distance between Udaipur and Tamil Nadu.
- **Let's Solve the Problem Step by Step**
1. Let the speed of Arun be 3x km/h and the speed of Aruna be 2x km/h.
2. When they meet after Arun travels 48 km, Aruna would have traveled (240 - 48) = 192 km.
3. Since they meet after traveling for the same time, we can set up the proportion:
Arun's time taken / Aruna's time taken = Arun's speed / Aruna's speed
(48 / 3x) / (192 / 2x) = 3 / 2
4. Solving the above equation, we get x = 4.
5. Therefore, Arun's speed = 3 * 4 = 12 km/h and Aruna's speed = 2 * 4 = 8 km/h.
6. Distance between Udaipur and Tamil Nadu = (190 + R)/2, where R is the total distance between Tamil Nadu and Udaipur.
7. Using the speed ratio, we can write the equation for the time taken by Arun and Aruna to meet:
48 / 12 = R / 8
R = 64 km
- **Conclusion**
The total distance between Udaipur and Tamil Nadu is 64 km.
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Question Description
Arun and Aruna started from Udaipur at same time running in opposite directions, towards Delhi and Tamil Nadu respectively. After reaching their respective destination, they again decided to meet, so Arun meets Aruna after travelling 48 km from Udaipur. Distance between Delhi and Tamil Nadu is 240 km, while distance between Tamil Nadu and Udaipur is (190 + R)/2 km. The respective speed ratio of Arun and Aruna is 3:2? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about Arun and Aruna started from Udaipur at same time running in opposite directions, towards Delhi and Tamil Nadu respectively. After reaching their respective destination, they again decided to meet, so Arun meets Aruna after travelling 48 km from Udaipur. Distance between Delhi and Tamil Nadu is 240 km, while distance between Tamil Nadu and Udaipur is (190 + R)/2 km. The respective speed ratio of Arun and Aruna is 3:2? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun and Aruna started from Udaipur at same time running in opposite directions, towards Delhi and Tamil Nadu respectively. After reaching their respective destination, they again decided to meet, so Arun meets Aruna after travelling 48 km from Udaipur. Distance between Delhi and Tamil Nadu is 240 km, while distance between Tamil Nadu and Udaipur is (190 + R)/2 km. The respective speed ratio of Arun and Aruna is 3:2?.
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