Match each vehicle's fuel scenario to its calculated maximum usable travel range.

A delivery van with a $25$ -gallon capacity keeps a $5$ -gallon reserve. It averages $16$ miles per gallon. $320$ miles
A heavy transport truck burns $3$ gallons of fuel for every $25$ miles traveled. It is loaded with $45$ gallons of fuel. $375$ miles
A fleet car uses $6$ gallons of fuel to travel $180$ miles. It has a full $14$ -gallon tank. $420$ miles
A rural mail carrier completes a $60$ -mile route using $4$ gallons of fuel. The vehicle has an $18$ -gallon tank. $270$ miles

Answer

Delivery van matches to

320

miles, heavy transport truck matches to

375

miles, fleet car matches to

420

miles, and rural mail carrier matches to

270

miles.

Each vehicle's range is successfully calculated by isolating the total usable fuel and applying its specific rate of fuel consumption (such as miles per gallon).

Step-by-Step Solution

Calculate the usable range for the delivery van.

The van has

20

usable gallons (

25 - 5

). Multiplying by

16

mpg gives

320

miles.

The

5

-gallon reserve must be subtracted before multiplying by the fuel efficiency.

Calculate the usable range for the heavy transport truck.

The truck travels

25

miles per

3

gallons. With

45

gallons, it can make

15

sets of this distance (

45 \div 3 = 15

15 \times 25 = 375

miles.

Setting up a direct proportion allows for finding total distance based on the consumption rate.

Calculate the usable range for the fleet car.

The car's efficiency is

180 \div 6 = 30

mpg. With

14

gallons, the range is

14 \times 30 = 420

miles.

Finding the unit rate (mpg) first makes it easy to multiply by the total fuel capacity.

Calculate the usable range for the rural mail carrier.

The carrier's efficiency is

60 \div 4 = 15

mpg. With

18

gallons, the range is

18 \times 15 = 270

miles.

Similar to the fleet car, dividing distance by gallons used provides the unit rate needed to find the maximum range.

Key Concept

Calculating distance by determining fuel efficiency (unit rate) and multiplying it by the available usable fuel.

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic