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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. What is the direction of U with respect to P?

  2. What is the shortest distance between R and T?

  3. If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?

  4. In which direction is Amit facing at point F?

  5. What is the distance between the starting point and the end point?

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