QUESTION

CSAT

Medium

Maths

Prelims 2015

Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left and Rohit always turns right. Which of the following statements is correct?

Select an option to attempt

Explanation

Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left, and Rohit always turns right. Let's analyze their movements:

Assumptions:

  • Shahid starts by moving west.
  • Rohit starts by moving east.

Shahid's Path:

  1. Moves 1 km west.
  2. Turns left (south) and moves 1 km.
  3. Turns left (east) and moves 1 km.
  4. Turns left (north) and moves 1 km.

Rohit's Path:

  1. Moves 1 km east.
  2. Turns right (south) and moves 1 km.
  3. Turns right (west) and moves 1 km.
  4. Turns right (north) and moves 1 km.
33

33

  • After both have traveled 2 km, Shahid is 1 km south of the starting point, and Rohit is 1 km north of the starting point. The distance between them is 2 km.
  • They meet after each has traveled 3 km.

Conclusion: The correct statement is:

  • B. They meet after each has traveled 3 km.

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