question_answer

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

A) 20 m, West                   

B) 10 m, East

C) 10 m, West       

D) 10 m, North

Correct Answer: C

Solution :

The movements of Sachin are as shown in figure (P to B, B to C, C to D and D to Q). Clearly, distance of Q from P \[=PQ=(DQ-PD)=DQ-BC\] \[=(40-30)\text{ }m=10\text{ }m\] Also, Q is to the West of P. \[\therefore \] Q is 10m West of P.