An outfielder fields a baseball 280 ft away from home plate and throws it directly to the cather with an initial velocity of 100 ft/s. Assume that the velocity v(t) of the ball after t seconds satisfies the differential equation dv/dt = -1/10v because of air resistance. How long does it take for the ball to reach home plate? (Ignore any vertical motion of the ball).

I apologize if this question has already been posted. But I've spent some time searching and haven't found anything yet.