to continue doing something, especially when this is difficult
They are pushing on with their campaign for improved childcare facilities.他们仍在努力争取改善育儿设施。
继续旅行（或前进）
to continue travelling somewhere
"You've been driving for a long time - do you want to stop for a rest?" "No, we're nearly there - let's push on."“你开了很长时间车了——要停下来休息一下吗？”“不用，我们快到了——继续前进吧。”