Will they move together?

Classical Mechanics Level pending

A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg placed on a smooth horizontal surface as shown in the figure.

The coefficient of friction between the two blocks is equal to 0.4. At what time momentum of the two blocks becomes equal? (in seconds)

2.5 1.75 1.25 1.875

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