Find the ratio of maximum to minimum distance between A and H if condition is that traveling a city more than once is not allowed.

From the above given diagram , we can see that
Maximum distance is when path taken is-
A – D – C – B – G – E – F – H = 1300 + 500 + 200 + 400 + 400 + 300 + 600 = 3700 km
Minimum distance is when path taken is-
A – C – G – H = 600 + 400 + 400 = 1400 km
Hence , Required ratio is 37 : 14.