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A car travels at 60 miles per hour and gets 14 kilometers per liter of gasoline. How many gallons of gasoline are needed for a 2.1-hour trip? Express your answer to two significant figures and include the appropriate units.

Answer :

Final answer:

The car traveling at 60mph for 2.1 hours covers 126 miles or 202.78 kilometers. Given its fuel efficiency of 14 kilometers per liter, it uses approximately 14.48 liters of gasoline. Converted to gallons (0.264172 gallons per liter), this results in about 3.82 gallons of gasoline for the trip.

Explanation:

To answer this question, first, let's determine the total distance the car is traveling during those 2.1 hours. If the car travels at 60 miles per hour for 2.1 hours, then it covers a total of 60 * 2.1 = 126 miles. Next, we need to convert the distance traveled from miles to kilometers since our car's fuel efficiency is given in kilometers per liter. One mile is approximately 1.60934 kilometers. So, the total distance in kilometers is 126 * 1.60934 = 202.78 kilometers.

Since the car gets 14 kilometers per liter of gasoline, we divide the total distance of 202.78 kilometers by 14 kilometers to find how many liters of gasoline are used, 202.78 / 14 = 14.48 liters. Finally, we need to convert this value from liters to gallons since the question asked for the answer in gallons. One liter is approximately 0.264172 gallons, so 14.48 * 0.264172 = 3.82 gallons (to two decimal places). Therefore, the car would use approximately 3.82 gallons of gasoline for a 2.1-hour trip.

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