What is “using them was falling” mean?
The number of people using the trains were falling.
This means that the the number of people were decreasing.
Less people were using the trains.
Anybody that knows more about teaching english feel free to chime in.
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Thanks a lot
maybe it helps to notice that the subject of that phrase is “number”-- the number was falling (ie, decreasing)-- the number (of people using them) was falling
"of people using them " is the prepositional phrase describing “number”
“number” is the subject of clause
Therefore, the verb “was falling” matches the noun, number
if that doesn’t help, ignore it 
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