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Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter.
What is the price for the amount of fuel that Roselyn will use for the entire drive?
dollars

Roselyn is driving to visit her family, who live $150$ kilometers away. Her average speed is $60$ kilometers per hour. The car's tank has $20$ liters of fuel at the beginning of the drive, and its fuel efficiency is $6$ kilometers per liter. Fuel costs $0.60$ dollars per liter. $\newline$ What is the price for the amount of fuel that Roselyn will use for the entire drive? $\newline$ dollars

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Multi-step problems with unit conversions

Full solution

Q. Roselyn is driving to visit her family, who live

150

kilometers away. Her average speed is

60

kilometers per hour. The car's tank has

20

liters of fuel at the beginning of the drive, and its fuel efficiency is

6

kilometers per liter. Fuel costs

0.60

dollars per liter.

\newline

What is the price for the amount of fuel that Roselyn will use for the entire drive?

\newline

dollars

Calculate total distance: Calculate the total distance Roselyn will drive. $\newline$ Roselyn is driving to visit her family, who live $150$ kilometers away.
Calculate fuel needed: Calculate the total amount of fuel needed for the drive. $\newline$ Roselyn's car has a fuel efficiency of $6$ kilometers per liter. To find out how many liters she will need for a $150$ -kilometer drive, we divide the total distance by the fuel efficiency. $\newline$ Fuel needed $=$ $\frac{\text{Total distance}}{\text{Fuel efficiency}}$ $\newline$ Fuel needed $=$ $\frac{150 \, \text{km}}{6 \, \text{km/l}}$ $\newline$ Fuel needed $=$ $25$ liters
Calculate cost of fuel: Calculate the cost of the fuel used for the drive. $\newline$ The cost of fuel is $0.60$ dollars per liter. To find the total cost, we multiply the amount of fuel needed by the cost per liter. $\newline$ Total cost $= \text{Fuel needed} \times \text{Cost per liter}$ $\newline$ Total cost $= 25 \text{ liters} \times 0.60 \text{ dollars/liter}$ $\newline$ Total cost $= 15 \text{ dollars}$

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