Question 67

A and B start running from the same point. A runs 3 km West, then turns South and runs 5 km, then turns to her right and runs 7 km. B runs 1 km South then turns to her right and runs 10 km. Where is B with respect to A now?

Solution

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

A runs 3 km west and reaches T, then he runs 5 km towards south and reaches point U. Finally he stops at V.

Similarly, B runs 1 km towards south and reaches R and finally stops at P after running 10 km.

Thus, PV = QU = 5 - 1 = 4 km

$$\therefore$$ B is 4 km to the north of A.

=> Ans - (B)

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