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Question

Amit and Bhuvan start from the same point. Amit drives 50 km East. Bhuvan drives 15 km North then turns East and drives 20 km, then turns to his right and drives 15 km. Where and in which direction is Bhuvan now with respect to Amit?

The correct answer is

30 km, West

To determine Bhuvan's location and direction with respect to Amit, we need to trace their paths step-by-step:

  1. Amit's Path: Amit drives 50 km East from the starting point. So, Amit's final position is 50 km East of the origin.
  2. Bhuvan's Path:
    • Bhuvan drives 15 km North. From the origin, his position is 15 km North.
    • Then, Bhuvan turns East and drives 20 km. Now his position is 20 km East, 15 km North of the origin.
    • Finally, he turns to his right (which, from facing East, is South) and drives 15 km. This brings him to 20 km East of the origin (he's back at the horizontal level of the starting point).

Now that we know both positions:

  • Amit is at 50 km East.
  • Bhuvan is at 20 km East.

To find how Bhuvan's position relates to Amit's:

  • Bhuvan is 20 km East of the origin, while Amit is 50 km East. The difference in their positions is 50 \, \text{km} - 20 \, \text{km} = 30 \, \text{km}.
  • Since Bhuvan is closer to the origin compared to Amit and both are along the East direction from their starting point, with respect to Amit, Bhuvan is 30 km West of him.

We can conclude that Bhuvan is 30 km West of Amit. Therefore, the correct option, based on the given choices, is 30 km, West.

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Important Questions from Direction and Distance

  1. Mukesh was facing the south. He walked 5 km straight and from there he turned at a 90° angle to his right and walked 5 km. Then he turned at a 45° angle to his left and walked 3 km. Where will he be from his actual position?

  2. Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?

  3. Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?

  4. According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?

  5. According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?

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