Question : Directions: Udai walks 25 m towards the west, and then he turns left and walks 55 m. Then, he takes a right turn and walks 45 m. Then, he turns right again and walks 70 m. In which direction and what distance should he walk now to reach 15 m north of the starting point?
Option 1: West; 70 m
Option 2: North; 35 m
Option 3: East; 45 m
Option 4: East; 70 m
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Correct Answer: East; 70 m
Solution :
Firstly, we draw the diagram as per the given instructions -
Now, we have to find the direction and what distance should Udai walk to reach 15 m north of the starting point.
Here, O is the starting point and D is the end point.
OA = 25 m; AB = 55 m; BC = 45 m; CD = 70 m
OA = FG = 25 m; AB = CE = 55 m; BC = AE = GD = 45 m
DE = DC – EC; 70 m – 55 m = 15 m; DE = FO = 15 m
From Point D he turns to his left to reach 15 m north of the starting point.
Therefore, DG + GF = 45 m + 25 m = 70 m
So, he covers 70 m distance towards the east direction to reach 15 m north of the starting point. Hence, the fourth option is correct.
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