In the quadrilateral ABCD, ad ∥ BC, ad = 24cm, BC = 26cm, the moving point P starts from point a and moves to point d at the speed of 1cm / s along the edge of AD, and the moving point Q starts from point C and moves to point B at the speed of 3cm / S along the edge of CB. P and Q start from a and C at the same time. When one point reaches the end point, the other point stops moving with it. Let the motion time be T seconds, what are the values of T respectively, then the quadrilateral PQCD and the quadrilateral pqcb are parallelograms?

In T seconds, point P moves 1 * t = t cm
Q point moving 3 * t = 3tcm
According to the parallelogram theorem, when PD and CQ are parallel and equal, the quadrilateral PQCD is a parallelogram
So when 24-t = 3T,
T = 6 seconds

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