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A man starts from a point A and travels 3 km towards east to reach B and then turns left and travels thrice the distance to reach another point C. Fro
Question



A man starts from a point A and travels 3 km towards east to reach B and then turns left and travels thrice the distance to reach another point C. From there he again turns left and travels five times the distance he covered between A and B and reaches his distination D. What is the shortest distance between the starting point and his destination?

A.

12 Km

B.

15 Km

C.

24 Km

D.

27 Km

Correct option is B


Solution:
Here as shown in the image man started from point A and reaches at the point D

We draw a line from A parallel to BC to meet CD at E .
Here AED forms a right angles triangle whose hypotenuse is AD
Hence (AD)² = (ED)² +(AE)²
(AD)² = (12)² +(9)²
AD = 15km
So we can clearly see the man is 15km from his starting point

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