In the trapezoidal ABCD, ad is parallel to BC, ∠ a = 90 °, ad = 21cm, BC = 24cm, point e moves from point a to D at the speed of 1cm per second, and point F moves from point C to B at the speed of 2cm per second. If points E and f start from points a and C at the same time, how long do they move, the trapezoidal efcd is isosceles trapezoid?

In the trapezoidal ABCD, ad is parallel to BC, ∠ a = 90 °, ad = 21cm, BC = 24cm, point e moves from point a to D at the speed of 1cm per second, and point F moves from point C to B at the speed of 2cm per second. If points E and f start from points a and C at the same time, how long do they move, the trapezoidal efcd is isosceles trapezoid?

9 seconds. Set X seconds, then E walks xcm, f walks 2xcm, if it is isosceles trapezoid, the upper bottom should be (21-1x) cm, the lower bottom should be 2xcm. The lower bottom is equal to the upper bottom plus 6cm. So the formula: 2x-6 = 21-x, the solution: x = 9