Question

Joshua drove his car a distance of 345.5 miles, and it required 13.0 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers? Hint: Start with 100 km. 100 km ... continue conversion. X... continue conversion. . . = number of Liters Use the following facts: 345.5 miles = 13.0 gallons for this car 1 km = 0.6214 mi 1 gal = 3.81 Round your answer to the nearest whole number.

Answer 1

Distance = 345.5 miles

Gasoline used = 13.0 gallons

100/1 km x

1km= 0.6214 miles

So:

Convert miles into km

1 /0.6214 = x/ 345.5

Solve for x:

(1/0.6214) (345.5) = x

x = 556 km

345 miles = 556 km

Convert gallons into liters:

1 gallon= 3.8 L

13 g x 3.8 L = 49.4 Liter

So, to travel 556 km it takes 49.4 liters;

proportion:

km/L = 556/49.4

For 100 km

556/49.6 = 100/L

Solve for L

L = 100 /(556/49.6)

L = 8.92 liters