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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. Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
  2. Gaurav exits from the backdoor of his north-facing house and walks 25 m straight, then he takes a left turn and walks 36 m, then he turns left and walks 47 m. He turns left again and walks 36 m. How far and in which direction is he from his house now?

  3. Reeta is standing facing south-east. First, she turns 135° clockwise. After that, she turns 90 °  anticlockwise. Then she turns 45 °  clockwise, followed by a 135 ° anticlockwise  turn. In which direction is she facing now?

  4. Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?

  5. At the time of sunset, Lopa and Kritika are sitting facing each other. If the shadow of Lopa falls to the right of Kritika, in which direction is Kritika facing?

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