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Question

Jagdish, from his house, ran 200 steps towards the east and then ran 40 steps after turning to his right to reach a tea stall. He then ran 40 steps towards his right and reached a bus stop. He then, turned towards his right and ran 40 steps. From there, turning towards his right he ran 140 steps and reached a post office.

How far and in which direction is the post office with respect to Jagdish's house?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
300 steps, East

Movement Analysis for Jagdish's Journey

This solution analyzes Jagdish's movements step-by-step to determine the final position of the post office relative to his house.

Step-by-Step Movement Breakdown

  • Start: Jagdish's House.
  • Move 1: Ran 200 steps towards the East. (Position: 200 steps East)
  • Move 2: Turned right (now facing South) and ran 40 steps. (Position: 200 East, 40 South)
  • Move 3: Turned right (now facing West) and ran 40 steps. (Position: 200 East - 40 West = 160 East, 40 South)
  • Move 4: Turned right (now facing North) and ran 40 steps. (Position: 160 East, 40 South - 40 North = 0 North/South)
  • Move 5: Turned right (now facing East) and ran 140 steps. (Position: 160 East + 140 East = 300 East, 0 North/South)

Calculating Net Displacement

To find the final distance and direction from the house, we sum the movements along the East-West and North-South axes.

  • East-West Calculation:

    Total East steps = 200 + 140 = 340 steps

    Total West steps = 40 steps

    Net East-West Displacement = Total East - Total West = 340 - 40 = 300 steps East.

  • North-South Calculation:

    Total South steps = 40 steps

    Total North steps = 40 steps

    Net North-South Displacement = Total South - Total North = 40 - 40 = 0 steps.

The post office is located 300 steps East of Jagdish's house.

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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?

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  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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