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Common Information

A retail major has a warehouse (W) located at (16, 10) in a town having roads laid on a square grid parallel to the x and y axes. There are five retail supermarkets (M, N, O, P and Q) located respectively at (4, 4), (6, 16), (16, 24), (20, 16) and (26, 4).

Q.

Common Information Question: 2/3

Suppose each square block in the grid has sides of length 2 km. The minimum length of a round trip starting from M and moving through N, O, P, Q and returning to M will be:

 A.

84 km 

 B.

80 km 

 C.

42 km 

 D.

None of these

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Solution:
Option(D) is correct

From the table,

Distance from M to N = 14

Distance from N to O = 18

Distance from O to P = 12

Distance from P to Q = 18

Distance from Q to M = 22

∴ Total Distance = (14 + 18 + 12 + 18 + 22) = 84 km

$\because$ Each square block in the grid has sides of length 2 km.

∴ Total Distance $= 84 \times 2 = 168$ km

Hence, option D is the correct choice.


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