The man was killed in the incident in Fairfield Road, near to the junction of Lightwood Road, in Buxton at 17:45 GMT on Thursday.
Derbyshire Police said a 40-year-old man has been arrested on suspicion of causing death by careless or inconsiderate driving.
Officers said the man was due to be interviewed later on Friday.

At one point, its share price fell more than 10% on the Milan stock market. By mid-afternoon, it was still 9% down.
The bank said the ECB had given it until 3 October to draw up a plan for reducing non-performing loans.
Italian banks are saddled with €360bn (£300bn; $400bn) of bad debt, about a third of the eurozone's total.
Monte dei Paschi accounts for €46.9bn of that total.
In a draft decision sent to the bank by the ECB, it was told to reduce gross non-performing loans from €46.9bn to €32.6bn by 2018, representing a cut of 30% over the next three years.
Investor concern over the strength of the industry has hit Italian banking shares this year.
Several other Italian banks also suffered big share price falls on Monday.
In April, Italy's financial industry approved a government-backed plan to set up a rescue fund to help weaker banks.
The Atlante fund will be made up by private money, reportedly worth €5bn, and will buy up shares and bad debt in struggling banks.

Mr Anderson said he was angry his track record "wasn't good enough".
Unite Union aide Dan Carden, 30, has been selected in the safe seat.
Ben Williams, the secretary of the constituency party, tweeted he will resign in protest at a "disgraceful undemocratic stitch-up".
Steve Rotheram, the constituency's MP since 2010, said he was standing down from Westminster after being elected mayor of the Liverpool City Region last week.
Mr Carden, who joined the Labour Party while at school, was selected by Labour's National Executive Committee.
He is an aide to Len McCluskey, general secretary of the UK's largest union, Unite.
He was born in Liverpool, but critics argue he is inexperienced in the city's politics compared to the other candidates.
Mr Anderson, who was on the final short list along with Mr Carden said: "I put myself forward for the selection in Liverpool Walton on my track record of running a successful Labour council in a major city and my desire to use those skills for Walton, for Liverpool and a new Labour government.
"Apparently it wasn't good enough for the panel."
Mr Anderson said he had turned Labour's fortunes around in the city, leading a socialist council and protecting those most in need.
North West Euro MP Theresa Griffin had also put herself forward.
Labour won Liverpool Walton in 2015 with a majority of more than 27,000.
A 79-year-old man has died after being hit by a lorry.
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Shares in Italy's third-biggest bank, Monte dei Paschi di Siena, have slumped after the European Central Bank told it to reduce its debt burden.
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Liverpool Mayor Joe Anderson has said Labour "is not always a meritocracy" after being overlooked as the party's Liverpool Walton candidate for the general election on 8 June.