A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C.
He again turns left and travels five times the distance he covered between A and B reaches his destination D. The shortest distance between the starting point and the destination is

Options

A. 12 km
B. 15 km
C. 16 km
D. 18 km

Answer

B

Explanation

The movements of Shahid are as shown in Fig. i.e. P to Q, Q to R, R to S, S to T and T to U.

P = Starting Point
U = End Point
Clearly, P and U lie in the same straight line and U lies to the west of P.
Therefore, Shahid. s distance from the starting point
P = PU = (QR - ST)
= (10 - 8) m = 2 km.