I'm Walking Away
Samuel and Samantha start walking away from each other from the same point in a clustered city of crisscross lanes. Samuel goes 70m east, turns right and goes 120m, again turns right and goes 20m, then turns left and goes 100m. He finally makes a left and stops after 100m. Samantha goes 150m north, then makes a left and stops after going some X m. If the final straight line distance of both from original point is same, find X
The answer is 220.
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1 solution
A diagram shows that Samuel moved 7 0 − 2 0 + 1 0 0 = 1 5 0 m east and 1 2 0 + 1 0 0 = 2 2 0 m south. Since Samantha already moved 1 5 0 m north, she must move an additional 2 2 0 m west to be the same distance from the center.