The trolley problem has no right answer — that's the point

Philippa Foot introduced the trolley problem in 1967: a runaway trolley is heading toward five people tied to the track. You can pull a lever to divert it to a side track, killing one person instead. Most people say pull the lever. Judith Jarvis Thomson's variant — push a large man off a bridge to stop the trolley with his body, saving five — produces far fewer 'yes' answers, despite identical numerical logic. The thought experiment reveals that human moral intuitions are inconsistent: we are not pure consequentialists or pure deontologists but context-dependent in ways philosophy has spent decades trying to explain.

Source: Foot, The Problem of Abortion and the Doctrine of Double Effect, Oxford Review (1967)