Manoj starts from Point A and drives 14 km towards East. He then takes a right turn, drives 12 km, turns right and drives 17 km. He then takes a right turn and drives 21 km. He takes a final right 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-degree turns only unless specified.)
9 km to the South
Place Point A at the origin (0, 0) with East as +x and North as +y. Driving 14 km East takes Manoj to (14, 0).
A right turn while facing East makes him face South; 12 km South takes him to (14, –12). A right turn while facing South makes him face West; 17 km West takes him to (14 – 17, –12) = (–3, –12).
A right turn while facing West makes him face North; 21 km North takes him to (–3, –12 + 21) = (–3, 9). The final right turn while facing North makes him face East; 3 km East takes him to Point P = (0, 9).
Point P is at (0, 9) and Point A is at (0, 0), so P lies exactly 9 km due North of A. To return to A he must drive 9 km towards the South.
Check: net East–West movement = 14 – 17 + 3 = 0 km and net North–South movement = –12 + 21 = 9 km North, so the shortest path back is 9 km in the opposite direction, South.
Hence, 9 km to the South.
Similar Questions
Nitin starts from Point A and drives 12 km towards south. He then takes a left turn, drives 15 km, turns left and drives 14 km. He then takes a left turn and drives 19 km. He takes a final left turn, drives 2 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-degree turns only unless specified.)
Mr. Riek starts from Point A and walks 22 km towards North. He then takes a left turn, walks 30 km, turns left and walks 28 km. He then takes a left turn and walks 39 km. He takes a final left turn, walks 6 km and stops at Point P. How far (shortest distance) and towards which direction should he walk in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Rohit starts from Point A and drives 10 km towards north. He then takes a left turn, drives 12 km, turns left and drives 11 km. He then takes a left turn and drives 15 km. He takes a final left turn, drives 1 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-degree turns only unless specified.)
Mr. Riek starts from Point A and walks 6 km towards South. He then takes a left turn, walks 9 km, turns left and walks 16 km. He then takes a left turn and walks 18 km. He takes a final left turn, walks 10 km and stops at Point P. How far (shortest distance) and towards which direction should he walk in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Vikas starts from Point A and drives 11 km towards north. He then takes a right turn, drives 13 km, turns right and drives 12 km. He then takes a right turn and drives 17 km. He takes a final right turn, drives 1 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-degree turns only unless specified.)
Mr. Z starts from Point Y and drives 3 km towards South. He then takes a left turn, drives 6 km, turns left and drives 9 km. He then takes a left turn and drives 15 km. He takes a final left turn, drives 6 km and stops 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)
Amit starts from Point A and drives 9 km towards south. He then takes a right turn, drives 14 km, turns right and drives 12 km. He then takes a right turn and drives 18 km. He takes a final right 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-degree turns only unless specified.)
Mr. Riek starts from Point A and walks 18 km towards North. He then takes a right turn, walks 9 km, turns right and walks 23 km. He then takes a right turn and walks 14 km. He takes a final right turn, walks 5 km and stops at Point P. How far (shortest distance) and towards which direction should he walk in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Gor starts from Point A and drives 10 km towards north. He then takes a left turn and drives 12 km, and again turns left and drives 13 km. He then takes a left turn and drives 15 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-degree turns only unless specified.)
Raghav starts from Point A and drives 7 km towards west. He then takes a right turn, drives 4 km, turns right and drives 11 km. He then takes a right turn and drives 10 km. He takes a final right turn, drives 4 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.)
Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
