Town D is 12 km north of town A. Town C is 15 km west of town D. Town B is 15 km west of town A. How far and in which direction is town B from town C?

A15 km towards the north

B12 km towards the north

C3 km towards the south

D12 km towards the south ✓ Correct

Correct answer: (D) 12 km towards the south

Explanation

Town B lies 12 km south of town C.

Put A at origin; D is 12 north at (0,12).

C is 15 west of D at (-15,12).

B is 15 west of A at (-15,0).

B and C share x = -15, so only y differs.

B at y=0 is 12 km below C at y=12, i.e. due south.

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