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Part A: In Europe, gasoline efficiency is measured in km/L. If your car\'s gas m

ID: 840019 • Letter: P

Question

Part A:

In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 33.0mi/gal , how many liters of gasoline would you need to buy to complete a 142-km trip in Europe? Use the following conversions: 1km=0.6214mi and 1gal=3.78L.

Part B:

While in Europe, if you drive 105km 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 28.0mi/gal ? Assume that 1euro=1.26dollars.

Express your answer numerically in dollars.

Part C:

A sprinter set a high school record in track and field, running 200.0 m in 20.7s . What is the average speed of the sprinter in kilometers per hour?

Express your answer numerically in kilometers per hour.

Part D:

A specific brand of gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-g piece. How many kilograms of dietary fat are in a box containing 3.00lb of candy?

Express your answer numerically in kilograms.

Explanation / Answer

Given Answer 1 )

1km=0.6214mi and 1gal=3.78L.

car's gas mileage is 33.0mi/gal

so 1 mi = 1/0.6214 km => 33 mi = 33/0.6214 km = 53.105 km

1 gal petrol covers 33 mi or 53.105 Km Or ,

3.78 L petrol covers 53.105 Km

so 142 km takes 3.78 / 53.105 *142 = 10.107 Lit

Answer 2) Given = car's gas mileage is 28.0mi/gai ,  1euro=1.26dollars.

if we drive 105km per day * 7 days/week * 1 week = 735 Km

1km=0.6214mi and 1gal=3.78L.

car's gas mileage is 28.0mi/gal

so 1 mi = 1/0.6214 km => 33 mi = 28/0.6214 km = 45.05 km

1 gal petrol covers 28 mi or 45.05 Km Or ,

3.78 L petrol covers 45.05 Km

so 735 km takes 3.78 / 45.05 *735 = 61.67 Lit

answer 3) Given = Speed of the sprinter = 200.0 m / 20.7s

so converting it into Km /hr => (200m / 1000m * 1km ) ( 3600 sec /20.7s *1hr)

= 200 * 3600 / 20.7 * 1000 = 3.478 Km /hr

answer 4) 1lb = 453.59

so 3 lb = 453.05 * 3 = 1359.15 gram

227 gram of piece contain 7 gram of dietry fat

1359.15 /227 = 5.98 * 7 = 41.86 gram of Dietry fat or 0.041 kg of dietry fat