In the figure provided, there is a crate of mass 4.16 kg on top of another crate of mass 2.77 kg. The coefficient of friction between the lower crate and the floor is μk = 0.450 and the coefficient of static friction between the two crates is μs = 0.820. If the crates start at rest and a force is applied to the right so that both move a distance of 7.65 m, what is the minimal amount of time required in which this can be accomplished without the top crate sliding on the lower crate?