A clock hangs on the wall of Lamsdale Railway Station. The wall is 71 ft. 9 in. long and 10 ft. 4 in. in height.

While waiting for the train, Ray and Sid noticed that the hands of the clock were pointing in the opposite directions and were parallel to one of the diagonals of the wall.

Determine the precise time.

**** Adapted from an original problem by H. E. Dudeney.