To determine the speed at which the Singh family traveled, we can calculate the speed using the formula for speed, which is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
From the data provided, we see that in 5 hours, the family traveled a total distance of 375 kilometers.
Using the formula:
\[ \text{Speed} = \frac{375 \text{ km}}{5 \text{ hours}} = 75 \text{ km/h} \]
Thus, the speed at which the Singh family traveled is 75 kilometers per hour.
The correct answer is B. 75 kilometers per hour.