PUZZLE - 4 - The Distant Roads

NIT Durgapur is to be upgraded into IIT Durgapur. For this the ministry of HRD called for development of the college infrastructure including construction of new buildings for the following branches of the college - Mechanical, Electrical, Civil, Chemical, CSE, ECE, and IT. These new buildings were then connected among themselves with 10 roads. The figure below shows the sketch of the pattern in which they were constructed and connected with roads.

The speciality of the roads is that each of the 10 different paths have a diffeent length between 1 Km - 10 Km. Some information is given in the table regarding the roads. The numbers in the table indicate the shortest distance between the two departments. For example, The shortest distance between chemical and CSE is 14 Kms. Also the CIVIL- IT and the ELECTRICAL - CHEMICAL roads are non-intersecting.

Find out the lengths of each of these 10 roads.

Note: Answer will be considered complete if all the roads are correctly matched with the lengths.

Your Answer should be sent in the following format :
To : mathsntech.nitdgp@gmail.com
Subject : Puzzle -4 Answer
Answer :

Solution : (Explaining how you reached at the solution)
Name , Year , Branch , College !!!

Happy solving !!!