Mr. Vasu starts from Point A and drives 25 km towards the north. He then takes a left turn, drives 17 km, turns left and drives 9 km. He then takes a right turn, drives 5 km, turns left and drives 20 km. He then takes a left turn and drives 29 km. He takes a final left 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-degree turns only unless specified.)
7 km to the west
Starting facing North and turning left each time (North to West to South), the path covers 25 km North, 17 km West, 9 km South, reaching (-17, 16) before the direction changes.
A right turn (West to North is wrong; from South, a right turn heads West) and 5 km West brings the path to (-22, 16). A left turn (West to South) and 20 km South brings it to (-22, -4).
A left turn (South to East) and 29 km East brings the path to (7, -4). A final left turn (East to North) and 4 km North brings point P to (7, 0).
Since A is at the origin (0, 0) and P shares the same y-coordinate, only a horizontal move is needed: 7 km West from P reaches A.
Hence, Mr. Vasu should drive 7 km to the west to reach Point A again.
Similar Questions
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- Read the given paragraph carefully and answer the question.
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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?
