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Question : Directions: A man starts from a point, moves 9 km south, then turns east and goes 3 km. He turns south and walks 3 km, and then moves 8 km towards the west. How far is he from the starting point?

Option 1: 15 km

Option 2: 12 km

Option 3: 11 km

Option 4: 13 km


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 13 km


Solution : Firstly, we will draw the diagram as per the given instructions in the question.


In the above figure, O is the starting point and D is the finishing point. So, OD is the distance from the starting point.
OD can be found using Pythagoras theorem.
OD2 = OE2 + DE2
OE = OA + AE = 9 + 3 = 12
DE = CD – CE = CD – AB = 8 – 3 = 5 
So, OE2 + DE2 = 122 + 52 = 144 + 25 = 169
OD = (169)1/2 = 13

So, the distance from the starting point is 13 km. Hence, the fourth option is correct. 

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