Samsung Galaxy S III (Verizon)

This might sound like a stupid question but here it goes anyway, If my Galaxy S3's battery was over heating a bit today in the car by GPS'ing and charging at the same time (for the 1st time my phone said phone wouldn't charge due to battery too hot) would that drain my battery quicker or faster than normal? Thanks for any info! It seems like it would to me, however I'd like to know for sure obviously.