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
`(3)/(8)` mile on
`(1)/(16)` gallon of water

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

distance traveled in miles =
`(3)/(8) \text{ miles }`

gallon of water =
`(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 ((3)/(8))/((1)/(16))\\\\\rightarrow (3)/(8) * (16)/(1)\\\\\rightarrow 3 * 2 = 6`

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