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Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B is
Correct answer is '972'. Can you explain this answer?
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Arvind travels from town A to town B, and Surbhi from town B to town A...

Let the distance between city A and the meeting point M be D1 and the distance between city B and the meeting point M be D2.
Arvind covers D1 in t hours and D2 in 6 hours.

t2 = 6 × 24 = 122
t = 12
Total time taken by Arvind to travel from city A to city B = (t + 6) = 18 hours.
Speed of Arvind = 54 kmph
Distance between city A to city B = 54 × 18 = 972 km.
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Arvind travels from town A to town B, and Surbhi from town B to town A...
Given Information:
- Arvind travels from town A to town B at a speed of 54 km/h.
- After meeting Surbhi, it takes Arvind 6 hours to reach town B.
- Surbhi takes 24 hours to reach town A.

Approach:
- Let the distance between town A and town B be 'd' km.
- Let the time taken for Arvind to meet Surbhi be 't' hours.

Calculations:
- Distance = Speed x Time
- Arvind's distance = 54 x 6 = 324 km
- Surbhi's distance = 54 x t
- Total distance = 324 + 54t = d
- Since both Arvind and Surbhi travel the same distance when they meet, we can equate the two distances:
324 + 54t = 54t
- Solving for t, we get:
324 = 54t
t = 6 hours
- Substituting t back into the total distance equation:
d = 324 + 54(6) = 972 km
Therefore, the distance between town A and town B is 972 km.
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Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B isCorrect answer is '972'. Can you explain this answer?
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Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B isCorrect answer is '972'. 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 Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B isCorrect answer is '972'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B isCorrect answer is '972'. Can you explain this answer?.
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