Ram drives 10 kms towards South from his house and turns left and drives…
2014
Ram drives 10 kms towards South from his house and turns left and drives another 10 kms. He again turns left and drives 40 kms straight, then he turns right and drives for another 5 kms to reach the bank where he works. How far and in which direction is Ram's bank from his house?
- A.
33 kms North East
- B.
45 kms North
- C.
65 kms East
- D.
39 kms North West
Attempted by 40 students.
Show answer & explanation
Correct answer: A
Track the movements with coordinates relative to the house (start at 0,0):
Start at (0, 0).
Drive 10 km south → (0, -10).
Turn left (now facing east) and drive 10 km → (10, -10).
Turn left (now facing north) and drive 40 km → (10, 30).
Turn right (now facing east) and drive 5 km → (15, 30).
Final displacement from the house: 15 km east and 30 km north (direction: northeast).
Distance from the house = sqrt(30^2 + 15^2) = sqrt(900 + 225) = sqrt(1125) ≈ 33.54 km.
Therefore the closest answer among the choices is 33 kms North East (rounded).