David Cameron told Daybreak, "We obviously have to win the trust of the British people" after a poll found over a half of voters no longer trust the Prime Minister.
Mr Cameron said: "We've had to take over these last three years some very difficult decisions, we've had to make very difficult cuts and I know sometimes that hasn't been easy for people.
"Britain is now standing tall in the world again, but we need to keep this up and we need to deliver recovery for everybody, for all.
"For all parts of the country North and South, for all people rich and poor, and we need to demonstrate that we are doing that so we win people's trust."
More top news
The pair, including a man in his 50s, were struck around midday on the Pen y Fan mountain range in Powys, mid-Wales.
Rain this morning caught many of us out, however more to come as the day goes on.
Australia's first female PM Julia Gillard has told ITV News Wales about sexist barriers in politics and her affinity to her native Wales.