Europe Minister David Lidington has written to his Government colleague Transport Secretary Patrick McLoughlin saying the line will concrete over farmland which currently serves as natural flood protection for his constituents' homes.
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The plaque at number 16 Cowley Street in Westminster marks the brown brick Georgian townhouse where Sir John lived for 31 years.
A man reportedly armed with several knives has been arrested in Whitehall on suspicion of planning a terror attack, police have said.
Metropolitan Police officer, Tom Harrison, has been crawling the course since the race began on Sunday morning.