The peak hour factor (PHF) is given by the formula:
\[
{PHF} = \frac{q}{4 \times q_{15}},
\]
where \( q \) is the total number of vehicles during the peak hour and \( q_{15} \) is the number of vehicles during the 15-minute peak period. In this case, we are told that all vehicles are passing in 10-minute intervals, so we have:
\[
q = q_{15}.
\]
Therefore,
\[
{PHF} = \frac{q_{15}}{4 \times q_{15}} = \frac{1}{4} = 0.25.
\]
Thus, the correct answer is option (A).