“Time” versus “Times”: When is time plural?

Solution 1:

1. How much time did you spend in Spain?

2. He punched me three times.

In the first sentence time refers to the amount of seconds, minutes, hours, days, weeks, years, decades, centuries, millennia and so on. This noun is uncountable.

In example (2) times refers to the number of occurrences. The number of instances that something happened. This is the same type of time as in "I asked her three times". That question doesn't mean, for example, I asked her for three hours! This noun is countable and usually used in the plural.

Solution 2:

http://www.ldoceonline.com/dictionary/time_1 and other dictionaries show clearly "uncountable" for some of the meanings

Generally:

1. Instances/Occasions, recorded values for durations, etc: times

2. The abstract notion, and generally not 1: time