The mileage for a motorcycle with a fuel tank capacity of 22L is 35mi/gal how long a trip in kilometers can be made on full tank of gas

Answer 1

To do this dimensional analysis calculation we need to first know the metric/common conversions for gallons & Liters and miles & kilometers. Looking these up we have 1 mile = 1.609 km & 1 gallon = 3.785 Liters

Since we want km as the answer, we'll start with that and put km in the numerator. Then, using D.A., we can set up the calculation as follows:

(1.609 km/1 mile) (35 miles/1 gallon) (1 gallon/3.785 Liters) 22 Liters.

Cancelling out the like terms results in km. Do the calculation now & you will get the correct answer (there's only 2 sig figs in the data, so the answer should be rounded accordingly to 2 sig figs.

Answer 2

The tank holds 22L. To figure out how far you can travel, you have the quantity 35 mi/gal.

The units are not the same, so convert L --> gal. 1 gallon = 3.79 L

22 L * (1 gal / 3.79 L) = 5.80 gal

5.80 gal * (35 mi / gal) = 203.17 mi

Now, 1 km = 0.62 mi so 203.17 mi * (1 km / 0.62 mi) = 327.69 km which is 330 km with 2 sig figs

To do in one long calculation: 22 L * (1 gal / 3.79 L) * (35 mi / gal)* (1 km / 0.62 mi) = 330 km