two lap average

Andrei drives a 60 mile closed course in 1 hour.[br][br]How fast does he have to drive a second lap in order to average 120 mi/hr for the two laps?[br][br][size=85][b][see challenge below][/b][/size][br][br]
The applet makes clear that it is [i][b]not possible[/b][/i] for the two lap average to be equal to 120 mi/hr.[br][br]Can you prove this algebraically?

Information: two lap average