The incident happened on Nottingham Road at Alfreton this afternoon.
A Derbyshire police spokesperson said: “The force was called just after 2pm to reports of a collision between a car and a moped.
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“The car (a Peugeot 207) and the moped (a Yamaha) collided just outside the Co-op store.
“The rider of the moped, a 16-year-old boy, was taken to hospital with injuries to his leg."