Allan's ear uses 1 litre of fuel in travel 12 km . How mueh fuel will be needed to iravel 420 km ?

To solve the problem, we need to determine how much fuel is required for Allan to travel 420 km, given that his vehicle uses 1 litre of fuel for every 12 km. ### Step 1: Determine the fuel consumption rate Allan's vehicle consumes 1 litre of fuel for 12 km. ### Step 2: Calculate the total distance to be traveled The total distance Allan wants to travel is 420 km. ### Step 3: Calculate the amount of fuel needed To find out how much fuel is needed for 420 km, we can set up a proportion based on the known fuel consumption rate: \[ \text{Fuel needed} = \frac{\text{Total distance}}{\text{Distance per litre}} = \frac{420 \text{ km}}{12 \text{ km/litre}} \] Now, let's perform the calculation: \[ \text{Fuel needed} = \frac{420}{12} \] Now, I will calculate this value. Calculate the value by following steps: - step0: Calculate: \(\frac{420}{12}\) - step1: Reduce the numbers: \(\frac{35}{1}\) - step2: Calculate: \(35\) The calculation shows that Allan will need 35 litres of fuel to travel 420 km. ### Final Answer: Allan will need **35 litres** of fuel to travel 420 km.