The Food to Microorganisms ratio (F/M) is given by the formula:
\[
\frac{F}{M} = \frac{\text{BOD}_5 \times \text{Flow rate}}{\text{MLVSS} \times \text{Volume of aeration tank}}.
\]
Substitute the given values:
\[
\frac{F}{M} = \frac{140 \times 10^3 \times 10}{3000 \times 1500}.
\]
After calculations, we find:
\[
\frac{F}{M} = 0.25 \, \text{day}^{-1}.
\]
Thus, the value of \( F/M \) is \( 0.25 \).