A person starts at point P, walks 4 km east to Q, turns left and walks 3 km to R, then turns left and walks 4 km to S. What is the shortest distance from P to S, and in which direction is S from P?

Question

Accepted Answer

3 km, North. Take P as origin. East 4 km reaches Q(4,0); left turn faces north, 3 km reaches R(4,3); left turn faces west, 4 km reaches S(0,3). S is directly north of P at distance 3 km.

A person starts at point P, walks 4 km east to Q, turns left and walks 3 km to R, then turns left and walks 4 km to S. What is the shortest distance from P to S, and in which direction is S from P?

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