* Both men vow to cut taxes, spend on services
* Hunt escalates rhetoric over no-deal Brexit
* Johnson says would be evangelist for business
* Farage seeks to keep up the pressure (Adds Hunt quotes, Farage rally; Please note paragraph 18 contains language some subscribers may find offensive)
By Kate Holton
LONDON, June 30 (Reuters) - Boris Johnson and Jeremy Hunt vowed to spend billions of pounds on public services, infrastructure and tax cuts on Sunday as the two men battling to become prime minister pitched themselves as the best candidate to take on the opposition Labour Party.
The rivals to succeed Theresa May as leader of the ruling Conservative Party sought to win broader backing by setting out plans to invest in education, transport and defence, even at the cost of higher government borrowing. The race should be over by July 23.
Johnson, the favourite, vowed to increase spending on education, adding to earlier pledges to invest in transport, superfast broadband, more police and tax cuts.
"Believe me there is cash now available," Johnson told Sky News. "(And) I'm prepared to borrow to finance certain great objectives but overall we will keep fiscal responsibility."
Foreign Secretary Hunt also pledged to slash corporation tax to drive economic growth, enabling him to increase spending on social care, defence and education.
With Britain now due to leave the European Union on Oct. 31, much of the debate has revolved around how the two candidates would steer the world's fifth-largest economy out of the world's biggest trading bloc without crippling growth.
With the winner decided by Conservative Party members, who overwhelmingly back Brexit, Hunt has toughened his language, saying he would take a decision at the beginning of October to go for a disorderly no-deal exit if there was no prospect of getting an agreement through parliament.
Asked how he would face the owners and employees of small companies put at jeopardy by such a decision, Hunt said democracy must come first.
"We are a country where politicians do what the people tell them to do," he told BBC TV. "If we have to leave without a deal I would do that but I would find support for those companies to help them weather the storms."
The self-proclaimed entrepreneur said a plan to cut the corporate tax rate to 12.5%, matching the level in Ireland and one of the lowest in any major economy, would become even more important in the event of a no-deal because it would support companies through the upheaval. The rate is currently 19%.