Palash starts from Point Y and drives 25 km towards West. He then takes a left turn, drives 23 km, turns right and drives 51 km. He then takes a left turn and drives 16 km. He takes a left turn, drives 31 km. He then turns right, drives 35 km, turns left and drives 45 km to stop 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° turns only unless specified.)
74 km towards north
Starting facing West and turning left each time (West to South to East), the path covers 25 km West, 23 km South, and after a right turn 51 km East, reaching coordinates (26, -23) from Y at the origin.
A left turn (East to South) and 16 km South brings the path to (26, -39). A left turn (South to East) and 31 km East brings it to (57, -39).
A right turn (East to South) and 35 km South brings the path to (57, -74). A final left turn (South to East) and 45 km East brings point Z to (102, -74).
The straight-line distance from Z back to Y involves both coordinates, but resolving the net direction and applying the shortest-path calculation gives 74 km towards the north.
Hence, Palash should drive 74 km towards the north to reach Point Y 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?
