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Two motorists have met in a very narrow street in London.
Neither of them wanted to reverse and get out of the way.
The first took out a copy of the Times and began to read. He
had been reading for about an hour when the second driver
asked politely:
“When you finish reading, won’t you give the paper to me?

Two motorists have met (present perfect) in a very narrow street in London.

Neither of them wanted (past simple) to reverse and get out of the way.

The first took out (past simple) a copy of the Times and began (past simple) to read. He  had been reading (past perfect continuous) for about an hour when the second driver  asked (past simple) politely:

“When you finish (present simple) reading, won’t you give (future simple) the paper to me?