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Question

Two fielders, I and J, start from the same point on a ground. I runs 20 m north and then turns towards the east and runs 35 m. He then turns to his right and runs 15 m. Meanwhile, J runs 30 m north and then turns right and runs 35 m. Where is J now with respect to I?

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
25 m towards the north

Movement Analysis: Fielder I

We can track the position of fielder I using coordinates, assuming the starting point is (0, 0). North corresponds to the positive y-axis and East to the positive x-axis.

  • Starts at (0, 0).
  • Runs 20 m North: Position becomes (0, 20).
  • Turns East, runs 35 m: Position becomes (0 + 35, 20) = (35, 20).
  • Turns right (South from East), runs 15 m: Position becomes (35, 20 - 15) = (35, 5).

Fielder I's final position is (35, 5).

Movement Analysis: Fielder J

Similarly, we track fielder J's position:

  • Starts at (0, 0).
  • Runs 30 m North: Position becomes (0, 30).
  • Turns right (East from North), runs 35 m: Position becomes (0 + 35, 30) = (35, 30).

Fielder J's final position is (35, 30).

Relative Position Calculation

To find J's position with respect to I, we subtract I's coordinates from J's coordinates:

Relative Position = J - I = (35, 30) - (35, 5)

Relative Position = \((35 - 35, 30 - 5)\)

Relative Position = \((0, 25)\)

The result \((0, 25)\) indicates that J is 0 m along the East-West axis and 25 m along the North-South axis relative to I.

A positive value in the second coordinate indicates North. Therefore, J is 25 m towards the north with respect to I.

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Similar Questions

  1. Johny starts from Point A and drives 6 km towards the North. He then takes a right turn, drives 17 km, turns right and drives 13 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
  2. A taxi travels 7 km south, then turns towards the east and travels 5 km, then turns towards the north and travels 7 km and then turns to its left and travels 2 km. What is the location of the taxi now with respect to its starting position?
  3. A man walks 6 km towards north and turns left and walks 2 kms towards West. If he has started from point Z and reached point A, then what is the shortest distance between point Z and A.
  4. A village girl walks 3 km east starting from her home in search of water. She then turns south and walks 2 km, then she turns east and walks 7 km, then she turns to her left and walks 2 km. Where is her home with respect to her position now?
  5. Two village women M and N start walking from the same point. M walks 4 km west, then turns left and walks 2 km. Meanwhile N walks 6 km south, then turns west and walks 4 km, then turns left and walks 1 km. Where is N with respect to M?
  6. Two fielders, I and J, start from the same point on a ground. I runs 20 m north and then turns towards the east and runs 35 m. He then turns to his right and runs 15 m. Meanwhile, J runs 30 m north and then turns right and runs 35 m. Where is J now with respect to I?
  7. A man starts from ‘O’, travels 20 km towards East to reach point ‘A’, turns right and travels 10 km to reach point ‘B’, turns right and travels 9 km to reach point ‘C’, turns right and travels 5 km to reach point ‘D’, turns left and travels 11 km and stops for some time and travels 1 km to reach point ‘E’ and then turns right and travels 6 km to reach point ‘F’.
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  8. In the morning X and Y are walking towards each other in a park. When they meet, Y's shadow' falls upon X. In which direction was X facing?

  9. Two workers K and L start walking from the same point. K walks 5 km North, then turns right and walks 2 km. Meanwhile, L walks 3 km West, then turns South and walks 4 km. Finally L turns left and walks 5 km. Where is K with respect to L?

  10. Sharad starts from Point Y and drives 9 km towards the South. He then takes a left turn, drives 19 km, turns right and drives 23 km. He then takes a right turn and drives 8 km. He takes a right turn and drives 17 km. He then turns left, drives 11 km, turns left and drives 6 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90 degrees turns only unless specified)


Important Questions from Direction and Distance

  1. Johny starts from Point A and drives 6 km towards the North. He then takes a right turn, drives 17 km, turns right and drives 13 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
  2. Town Q is to the east of Town P. Town R is to the south of Town Q. Town S is to the east of Town R. Town T is to the south of Town S. Town U is to the east of Town T. What is the position of Town U with respect to Town Q?
  3. Binoy starts from Point Y and drives 16 km towards the north. He then takes a right turn and drives 43 km, then turns right and drives 38 km. He then takes a right turn and drives 19 km. He takes a final right turn, drives 22 km and stops at Point Z. How far (shortest distance) and in which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
  4. Himank starts from Point A and drives 13 km towards West. He then takes a left turn, drives 3 km, turns left and drives 16 km. He then takes a left turn and drives 6 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
  5. Shyam starts from Point A and drives 12 km towards east. He then takes a right turn,
    drives 7 km, turns right and drives 5 km. He then takes a left turn and drives 9 km. He
    takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and
    towards which direction should he drive in order to reach Point A again? (All turns are
    $90^{\circ}$ turns only unless specified.)
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