Question

A boat can travel 384 km on 96 liters of gasoline how far can I travel on 64 liters

Answer 1

We are given that a boat can travel a certain amount of distance on a certain amount of fuel.

A boat can travel:

`\text{Distance travelled ( D ) = 384 km}`

The fuel consumption for the distance travelled is given as follows:

`\text{Fuel consumption ( F ) = 96 liters}`

We will determine the mileage of the boat i.e one of the performance characteristic of any vehicle ( mode of transport ) that leads to operating economy. Mileage is considered to be a parameter that delineates the amount of distance travelled per unit liter of fuel comsumed as follows:

`\begin{gathered} \text{Mileage = }\frac{Dis\tan ce\text{ travelled ( D )}}{Fuel\text{ consumed ( F )}} \\ \\ \text{Mileage = }\frac{384\text{ km}}{96\text{ liters}} \\ \\ \text{\textcolor{#FF7968}{Mileage = 4 }}\textcolor{#FF7968}{(km)/(liter)} \end{gathered}`

We will then use the parameter of mileage to determine the how far this boat can travel with the given amount of fuel of 64 liters. Hence, we can express the distance travelled as follows:

`\text{Distance travelled ( d ) = Mileage}\cdot Number\text{ of liters}`

We will go ahead and plug in the respective quantities and evaluate the distance travelled ( d ) as follows:

`\begin{gathered} \text{Distance travelled ( d ) = 4}\cdot64 \\ \text{\textcolor{#FF7968}{Distance travelled ( d ) = 256 km}} \end{gathered}`

The amount of distance travelled ( d ) on 64 liters of fuel is:

`\textcolor{#FF7968}{256}\text{\textcolor{#FF7968}{ km}}`