Hello
Seamless and welcome to the Cabin of PPRuNe!
Your question is reasonable and others new to the experience would also like to know. Airports that have multiple runways have stringent process' for this. For example, the aircraft that is departing will, on take off, NEVER turn towards the runway where landings are taking place - even if that is the direction of their destination. This is so that, if the landing aircraft has to go around (not land) for some reason, their path will not cross with those departing. Some big airports have 4, 5 or 6 runways so these events are well known and planned for around the world.
Do stay here and ask more question although we have no cabin service, I'm afraid, you'll have to get your own tea or coffee.