Русско-англо-русский юридический словарь

If you arrive punctually, you arrive at the right time, neither late nor early - you arrive on time. [...] In time has a slightly different meaning from on time. If you do something in time, you do it with time to spare - before the last moment. (BBC Learning English)

in the right place at the right time. At a location where something good is about to happen at just the time of its occurrence; lucky; fortunate; able to obtain a benefit due to circumstances, rather than due to merit. (Wiktionary)