Four Runners

Four runners competed in a race. Dante finished before Annie. Becca wasn’t third. There were two runners between Annie and Carlos. Who won?

Answer

Carlos won the race.

There were two runners between Annie and Carlos, so the 1^st and 4^th position goes to either Annie or Carlos.

Becca and Danta were either 2^nd or 3^rd. But since Becca wasn’t 3^rd, Danta has to be 3^rd and Becca has to be 2^nd.

Since Dante finished before Annie, Annie has to be 4^th and Carlos has to be 1^st.

	Annie	Becca	Carlos	Dante
1^st	X	X		X
2^nd	X		X	X
3^rd	X	X	X
4^th		X	X	X