Final answer:
The fuel efficiency of the truck is 180 km per 32 liters. Using this rate and a full tank of 164 liters, the truck can travel 918 kilometers on a full tank of diesel.
Step-by-step explanation:
The question is asking us to calculate the distance a truck can travel on a full tank of diesel based on the provided rate of fuel consumption.
First, we need to find the fuel efficiency of the truck, which is the distance traveled per unit of fuel. The truck went 180 km on 32 liters of diesel. To find out how far the truck can go on a full tank of 164 liters, we set up a proportion:
Fuel efficiency = Distance / Fuel used
Fuel efficiency = 180 km / 32 liters
To find the distance on a full tank, we multiply the fuel efficiency by the amount of fuel in a full tank:
Distance on full tank = Fuel efficiency × Full tank volume (164 liters)
Distance on full tank = (180 km / 32 liters) × 164 liters
The calculation gives us the answer:
Distance on full tank = (180 × 164) / 32
Distance on full tank = 918 km
Therefore, the truck can travel 918 kilometers on a full tank of diesel.