From where I live, getting the bus to the jobcentre (in the nearest town) costs £5.50 return. So that would be £27.50 per week, or rather a large proportion of JSA. Its 12 miles (very hilly) each way, so I wouldn't have thought many long term unemployed people would be able to cycle it every day (most of the people out of work I know here aren't really in that good health).
Do you get a free bus pass if you're on JSA? All seems a bit mad, even by current standards . . .