buzz, I'm hardly the guy to say this, but this could have been answered more simply.
First, we don't know the guy's skill level, though the question is an indicator, but you don't need to scare him about a fire right at the outset.
Here's how I'd answer this:
The ratings tell us something about the capabilities of the components. The ratings are not enough information to tell us anything about the situation at the moment.
An amplifier rating shows how much power the amplifier can put out. A speaker rating shows the maximum power that the speaker can handle without damage. As mentioned, these ratings are slippery.
Also, you can connect a 60 watt speaker to a 2,000 watt amplifier and everything will be fine if you don't turn up the volume beyond the point where it's putting out 60 watts. A 2,000 watt amplifier with the volume turned down is still a 2,000 watt amplifier, even though, under this condition, it is not outputting anything at all.
In parallel fashion, a fire hydrant can output enough water to pierce the wall of a house, but a small faucet and hose can be attached to a hydrant and can gently water a lawn.
Amplifiers feed power to speakers. The impedance of the speaker (similar in effect to the diameter of a water hose) determines, in part, how much power goes to the speaker. With a hose, a larger diameter can let more water flow, but only if the faucet is opened up wide. With a speaker, a lower impedance can let more power flow, but only if the volume control is turned up more.
Eg. would a 60w speaker connected to a 100w amp draw 60w or get fed 100w ?
The answer to this is yes and no. The speaker's 60W designation tells you that you're going to blow it if you feed it more than 60 watts (well, within the slipperiness quotient, I'll call it, of the specifications). You'll feed it 100 watts because the amplifier can put out that much power if you turn the amp up loud enough.
That didn't turn out to be much shorter, did it?