# In a village there are 4 mansions located at a different Distance from each other.

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In a village there are 4 mansions located at a different Distance from each other.

following are the distances:

3rd mansion is 60km apart from the 1st mansion.

4th mansion is 40km apart from the 2nd mansion.

3rd mansion is 10km nearer to the 4th mansion than it is to the 2nd mansion.

Can you find out the distance b/w the 4th and 1st mansion ?

posted Oct 28, 2016

96.04kms.Use of Pythagoras theorem.

75

See the working in the attached image

Let us locate the mansions according to scheme below
1--------2-------3---------4
distance between 1 and 2 is 60 kms
distance between 2 and 4 is 40 kms
distance between 2 and 3 is X+10 kms
distance between 3 and 4 is X
Then,
X + 10 + X = 40 , X = 15
Total distance between 1 and 4 is 60 + 15 = 75 Kms

answer Nov 6, 2016 by anonymous

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