Math / Numbers & Operations

QuestionYou might need: Calculator
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.
How long can Roselyn drive before she runs out of fuel? $\square$ hours Show Calculator

Studdy Solution

STEP 1

1. Roselyn's car has an initial amount of 20 liters of fuel.
2. The car's fuel efficiency is 6 kilometers per liter.
3. Roselyn's average driving speed is 60 kilometers per hour.
4. We need to find out how many hours Roselyn can drive before running out of fuel.

STEP 2

1. Calculate the total distance Roselyn can travel with the given amount of fuel.
2. Determine the time it takes to travel this distance at her average speed.

STEP 3

Calculate the total distance Roselyn can travel with 20 liters of fuel using the fuel efficiency.
$\text{Total distance} = \text{Fuel amount} \times \text{Fuel efficiency} = 20 \text{ liters} \times 6 \text{ km/liter} = 120 \text{ kilometers}$

STEP 4

Determine the time it takes to travel 120 kilometers at an average speed of 60 kilometers per hour.
$\text{Time} = \frac{\text{Total distance}}{\text{Speed}} = \frac{120 \text{ kilometers}}{60 \text{ km/hr}} = 2 \text{ hours}$
Hence, Roselyn can drive for 2 hours before she runs out of fuel.

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