Ghr starts from Point A and drives 7 km towards West. He then takes a left turn and drives 4 km; and again turns right and drives 3 km. He then takes a right turn and drives 7 km. He takes a final right turn, drives 10 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.)
3 km to the South
Place Point A at the origin (0, 0) with east as positive x and north as positive y. A left turn while facing west points south; a right turn while facing south points west; a right turn while facing west points north; a right turn while facing north points east.
7 km west → (–7, 0). Left turn (facing south), 4 km → (–7, –4). Right turn (facing west), 3 km → (–10, –4). Right turn (facing north), 7 km → (–10, 3). Right turn (facing east), 10 km → (0, 3) = Point P.
Point P is at (0, 3), i.e. 3 km north of A on the same north–south line. To reach A again he must drive 3 km towards the south.
Check: net east–west movement = –7 – 3 + 10 = 0 km and net north–south movement = –4 + 7 = +3 km, so P is exactly 3 km north of A and the shortest drive back is 3 km southwards.
Hence, 3 km to the South.
Similar Questions
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.)
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.)
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.)
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. 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)
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.)
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)
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.)
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. 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)
Important Questions from Direction and Distance
- 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.)
- 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?
- 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.)
- 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.)
- 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.)
