hurry: to go somewhere or do something more quickly than usual, for example because you are late or you must finish something soon Examples: If you don’t hurry, you’ll miss the bus. We have plenty of time. There’s no need to hurry. rush: to go somewhere very quickly, or to do something too quickly and without thinking carefully enough Examples: Everyone rushed out into the street to see what was happening. Try to answer the questions calmly, without rushing. A police car rushed past.

In a hurry is more used when you are late for an appointment and in a rush is used when it is an emergency and have to be there ASAP