Question 17

P and Q start cycling from the same point. P cycles 18 km North, then turns to her right and cycles 3 km. Q cycles 9 km East, then turns North and cycles 10 km North, then turns left and cycles 6 km. Where is Q now with respect to the position of P?

Solution

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

P cycles 18 km north and reaches M, then takes right turn and reaches point N by cycling 3 km.

Similarly, Q cycles east for 9 km and reaches T, then turns north for 10 km and finally stops at point V.

Thus, NV = 18 - 10 = 8 km

$$\therefore$$ Q is 8 km to the south of P.

=> Ans - (A)

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