The rate at which the vehicle can travel is 6 miles per gallon
Solution:
Given that experimental vehicle is able to travel [tex]\frac{3}{8}[/tex] mile on [tex]\frac{1}{16}[/tex] gallon of water
To find: Rate at which the vehicle can travel, in miles per gallon of water
distance traveled in miles = [tex]\frac{3}{8} \text{ miles }[/tex]
gallon of water = [tex]\frac{1}{16} \text{ gallons }[/tex]
Miles per gallon is given as:
[tex]\text{ miles per gallon }=\frac{\text{ distance traveled in miles}}{\text{gallon of water }}[/tex]
Substituting the given value we get,
[tex]\rightarrow \frac{\frac{3}{8}}{\frac{1}{16}}\\\\\rightarrow \frac{3}{8} \times \frac{16}{1}\\\\\rightarrow 3 \times 2 = 6[/tex]
So the rate at which the vehicle can travel, in miles per gallon of water is 6 miles per gallon