First consider the shortest distance that is between ECE and CIVIL = 4 Km. Therfore you can have only 2 roads between and the only possible way of doing this is (1+3) or (3+1) kms. And that means it has to pass through IT. Now it is given that the CIVIL-CHEMICAL road is 12 kms long. If CIVIL -IT is 1, then CHEMICAL - IT can be maximum 10, So minimum distance comes out to 11 Km which is contradictory. Therfore it has to be 3 kms. Now we know CIVIL-IT is 3 kms and IT-ECE is 1 km. Here onwards we can continue the logic and reach the following conclusion.
The correct match is :
ECE - IT - 1 km
Mech - Elec - 2 km
CIVIL- IT - 3 km
ECE - CSE - 4 km
ELEC- CHEM -5 km
ELEC - IT - 6 km
ELEC- CIVIL - 7 km
MECH - ECE - 8 km
ELEC-CSE - 9 km
IT - CHEM - 10 km
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