A simple constant acceleration in a straight line kinematics question?

A particle is projected in a straight line with constant acceleration. With respect to a coordinate along the projection line, the initial velocity of the particle is positive. One second after the projection of the first particle, a second particle is projected from the same point with half the initial velocity and double the acceleration of the first particle. At the instant when the second particle overtakes the first, their respective speeds are 31 m/s and 22 m/s. Calculate the distance traversed in metres and the time in seconds when the overtaking event occurs.