Question

While in Europe, if you drive 125 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 40.0 mi/gal ? Assume that 1euro=1.26dollars.

Answer 1

To calculate weekly gas expenditure while driving in Europe, you must convert the daily distance driven into miles, determine the weekly mileage, calculate the gas needed in gallons, convert it to liters, and then apply the cost of gas in euros per liter, finally converting it into dollars. The total weekly expenditure on gas would be approximately 71.33 dollars.

Step-by-step explanation:

To calculate the money spent on gas while driving in Europe, we need to consider the distance driven, the fuel efficiency of the car, and the cost of gas. The car's gas mileage is given as 40.0 miles per gallon (mi/gal), and the cost of gas is 1.10 euros per liter.

1. Convert the daily distance from kilometers to miles (since fuel efficiency is given in mi/gal). There are approximately 0.621371 miles in a kilometer, so 125 km × 0.621371 = 77.671375 miles per day.
2. Multiply the daily miles by 7 to get the weekly distance: 77.671375 miles/day × 7 days = 543.699625 miles per week.
3. Calculate how many gallons of gas are used per week by dividing the weekly distance by the car's mileage: 543.699625 miles ÷ 40 mi/gal = 13.59249 gallons.
4. Convert gallons to liters to match the unit for the cost of gas (since the cost is given in euros per liter). There are 3.78541 liters in a gallon, so 13.59249 gallons × 3.78541 = 51.464 liters approximately.
5. Multiply the amount of fuel needed by the cost per liter: 51.464 liters × 1.10 euros/liter = 56.6104 euros.
6. Since we need the cost in dollars and the exchange rate is 1 euro = 1.26 dollars, multiply the total cost in euros by the exchange rate: 56.6104 euros × 1.26 dollars/euro = 71.329304 dollars.

The amount of money you would spend on gas in one week is approximately 71.33 dollars.

Answer 2

You would spend $71.32 per week on gas.

Step 1. Convert weeks to days

Time = 1 wk × (7 days/1 wk) = 7 days

Step 2. Calculate the distance travelled

Distance = 7days × 125 km/day = 875 km

Step 3. Convert kilometres to miles

Distance = 875 km × (1 mi/1.609 km) = 543.8 mi

Step 4. Calculate the gallons of gas

V = 543.8 mi × (1 gal/40.0 mi) = 13.60 gal

Step 5. Convert gallons to litres

V = 13.60 US gal × (3.785 L/1 US gal) = 51.46 L

Step 6. Calculate the cost of the gas

Cost = 51.46 L × (€1.10/1 L) = €56.60

Step 7. Convert euros to dollars

Cost = €56.60 × ($1.26/€1) = $71.32