Question

A car travels at 55 mi/h and gets 11km/l of gasoline. How many gallons of gasoline are needed for a 3.0-h trip?

Answer 1

To calculate the number of gallons of gasoline needed for a 3.0-hour trip, we need to use the formula: Number of gallons = (Speed in miles per hour * Time in hours) / Fuel efficiency in miles per gallon. Given the car's speed is 55 miles per hour and it gets 11 kilometers per liter of gasoline, we can calculate the number of gallons required to be approximately 6.827 gallons.

Step-by-step explanation:

To calculate the number of gallons of gasoline needed for a 3.0-hour trip, we can use the formula:

Number of gallons = (Speed in miles per hour * Time in hours) / Fuel efficiency in miles per gallon

Given that the car's speed is 55 miles per hour and it gets 11 kilometers per liter of gasoline, we need to convert the speed and distance units to be consistent. Converting 3.0 hours to miles gives us a distance of 165 miles. To convert 165 miles to kilometers, we multiply by the conversion factor of 1.60934, which gives us 265.5 kilometers.

Now, we can calculate the number of gallons of gasoline needed using the formula:

Number of gallons = (55 miles/hour * 3.0 hours) / (265.5 kilometers / 11 kilometers per liter)

This simplifies to:

Number of gallons = 165 miles / (24.1364 liters)

Therefore, the car would need approximately 6.827 gallons of gasoline for a 3.0-hour trip.

Answer 2

6.377 gallons of gasoline are needed for the 3h trip.

Step-by-step explanation:

This problem can be solved by consecutive direct rule of three's.

A rule of three is called direct when the relationship between both measures is direct. It means that as the value one of measures increases, so will the alue of the other measure.

The first step is to know how much the car traveled.

The trip was 3-h long, and the car traveled at 55 mi and hour. So:

1 hour - 55mi

3 hour - x mi

x = 55*3

x = 165 miles

The car traveled 165 miles.

Then we need to know how many kilometers the car traveled.

Each mile has 1.61km, so:

1 mile - 1.61km

165 miles - x km

x = 165*1.61

x = 265.5 km

The car traveled 265.5 km

Now we need to know how many liters the car used

For each liter used, the car can travel 11 km, so:

1L - 11km

xL - 265.5 km

11x = 265.5

`x = (265.5)/(11)`

x = 24.14L

The car used 24.14L

The final step is converting from L to gallons.

Each liter has 0.264 gallons, so:

1L - 0.264 gallons

24.14L - x gallons

x = 0.264*24.14

x = 6.377 gallons

6.377 gallons of gasoline are needed for the 3h trip.