Question

An experimental vehicle is able to travel 3/8 mile on 1/16 gallon of water. What is the rate at which the vehicle can travel, in miles per gallon of water?

Answer 1

The rate at which the vehicle can travel is 6 miles per gallon

Solution:

Given that experimental vehicle is able to travel $\frac{3}{8}$ mile on $\frac{1}{16}$ gallon of water

To find: Rate at which the vehicle can travel, in miles per gallon of water

distance traveled in miles = $\frac{3}{8} \text{ miles }$

gallon of water = $\frac{1}{16} \text{ gallons }$

Miles per gallon is given as:

$\text{ miles per gallon }=\frac{\text{ distance traveled in miles}}{\text{gallon of water }}$

Substituting the given value we get,

$\rightarrow \frac{\frac{3}{8}}{\frac{1}{16}}\\\\\rightarrow \frac{3}{8} \times \frac{16}{1}\\\\\rightarrow 3 \times 2 = 6$

So the rate at which the vehicle can travel, in miles per gallon of water is 6 miles per gallon