Question 17

A and B start from the same point. A cycles 8 km South, then turns to her right and cycles 5 km. B cycles 3 km North, then turns West and cycles 5 km, then turns to her left and cycles 4 km. Where is B with respect to A now?

Solution

Let both A and B start from point S. A's path is shown by black and B's by blue.

A cycles 8 km south and reaches T, then takes right turn and reaches point U by cycling 5 km.

Similarly, B cycles north for 3 km and reaches R, then turns left for 5 km and finally stops at point P.

Thus, PU = 8 + 3 - 4 = 7 km

$$\therefore$$ B is 7 km to the north of A.

=> Ans - (A)