For Boxtops:
The system hasn't changed. For the first 6 months after becoming unemployed (assuming a recent full record of National Insurance contributions) a person is eligible for Contribution-Based JSA, which isn't means-tested. (A billionaire with mansions, yachts and private jets could get it as long as he was actively seeking employment).
There is no entitlement to Contribution-Based JSA after 6 months but an application can then be made for Income-Based JSA. However it's means-tested, with a partner's income being taken into account. That means that someone living with a partner, who is working full-time, will get absolutely nothing.
For San070160:
Your friend could ask the new employer to let him put up a notice at the workplace, asking if anyone can offer him a daily lift (on a 'shared fuel' basis). Otherwise, as has been indicated above, his best (or indeed only) option would seem to be to borrow (or buy) a bicycle.