Here's a quick run-down in concrete mix-design. An important factor in the strength of concrete is the water-to-cement ratio (w/c). The ratio is typically around .3 or .35 pounds of water per pound of cement. The lower this ratio, the stronger the concrete will be (so long as the batch has been properly mixed).
The higher the ratio is the easier the concrete is to work with usually, but the lower the strength of the concrete is.
So yes, water makes the cement in the concrete cure, but you have to be very careful of the ratio of water in the concrete compared to cement.
On a side note-please don't call concrete cement or call cement concrete. Concrete contains cement, cement doesn't contain concrete.
I didn't see how hard it rained, just that it was/had rained while they were pumping it. And I'd argue there's nothing worse than having too much water added to the concrete and completely ruining your strength.
this bothers me as well. thanks for informing the rest of cf.