Coverage/Power Output Questions from a Layman

Hi all,

A few colleagues of mine were having a discussion on coverage and power output questions and capabilities. A theoretical was posed to see what we think would talk the best. Suppose you have two set-ups:

1 mobile radio @ 100Watts, narrow-band analog, with a 1/4 wave antenna

and the other is

1 mobile radio @ 45Watts, wide-band, with a 1/4 wave antenna.

Accounting for loss, power output, and band on the same antenna which one is going to talk the furthest? We assume that the 100W would still be greater, but how MUCH better? And can someone explain it in layman’s terms to someone with pretty vague knowledge?