Efficiency of Machines Quick Check

Question

1 of 51 of 5 Items
Question
Which car has the greatest efficiency?(1 point)
Responses

a 1,200 kg car that travels 20 km per liter of fuel
a 1,200 kg car that travels 20 km per liter of fuel

a 900 kg car that travels 20 km per liter of fuel
a 900 kg car that travels 20 km per liter of fuel

a 900 kg car that travels 15 km per liter of fuel
a 900 kg car that travels 15 km per liter of fuel

a 1,200 kg car that travels 15 km per liter of fuel

Answer 1

To determine which car has the greatest efficiency, we can look at the fuel efficiency in terms of distance traveled per weight of the car.

We have the following cars:

1. A 1,200 kg car that travels 20 km per liter of fuel.
2. A 900 kg car that travels 20 km per liter of fuel.
3. A 900 kg car that travels 15 km per liter of fuel.
4. A 1,200 kg car that travels 15 km per liter of fuel.

Let's calculate the efficiency (distance per weight) for each car:

1. 1,200 kg car (20 km/l):
   Efficiency = 20 km / 1200 kg = 0.01667 km/kg

2. 900 kg car (20 km/l):
   Efficiency = 20 km / 900 kg = 0.02222 km/kg

3. 900 kg car (15 km/l):
   Efficiency = 15 km / 900 kg = 0.01667 km/kg

4. 1,200 kg car (15 km/l):
   Efficiency = 15 km / 1200 kg = 0.0125 km/kg

Now, comparing the efficiencies:

• 1,200 kg car (20 km/l): 0.01667 km/kg
• 900 kg car (20 km/l): 0.02222 km/kg
• 900 kg car (15 km/l): 0.01667 km/kg
• 1,200 kg car (15 km/l): 0.0125 km/kg

The car with the greatest efficiency is the 900 kg car that travels 20 km per liter of fuel.