Question

A crate, heavier than you are, rests on a rough floor. The coefficient of static friction between the crate and the floor is the same as that between the soles of your shoes and the floor. Can you push the crate across the floor?

Answer 1

You cannot push the crate because the friction between you and the floor is less than the friction between the crate and the floor.
Answer: you cannot push the crate.