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Question : 18 of 38

Marks: +1, -0

Starting from a point P, Sachin walked 20 metres towards South. He turned left and walked 30 metres He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. how far and in which direction is the point Q from the point P?

20 metres West
10 metres East
10 metres West
10 metres south

Solution:

Concept:

Track displacement using directions as coordinates (North: +y, East: +x, South: -y, West: -x).

Explanation:

Start at P =

(0,0)

.

Walk 20 m South:

(0, -20)

.

Turn left (now facing East), walk 30 m:

(30, -20)

.

Turn left (now facing North), walk 20 m:

(30, 0)

.

Turn left (now facing West), walk 40 m:

(-10, 0)

.

From P to Q is

(-10, 0)

, i.e., 10 m West.

Answer:

10 metres West

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