The distance from A to B is 54 3/4 km. A lorry uses 25 1/2 litres of fuel to cover 1 km. How many litres of fuel does the lorry require to travel from A to B?
If a litre of fuel costs 110, what is the total amount of money required?
Answer (2)
The lorry requires approximately 1396.125 litres of fuel to travel from A to B, totaling a cost of approximately 153573.75 in currency. The calculations were made using the distance traveled and the fuel consumption rate. Both the fuel needed and the cost were derived through multiplication of the respective factors.
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To solve this question, we need to calculate the total amount of fuel required for the lorry to travel from point A to B, and then find the total cost of that fuel.
Let's break it down step-by-step:
Calculate the Total Distance from A to B:
The distance given is 54 4 3 km. To make calculations easier, we will convert this mixed number into an improper fraction.
54 4 3 = 4 219 km
Determine the Fuel Usage for Each Kilometer:
The lorry uses 25 2 1 liters of fuel per kilometer. Again, we convert this mixed number into an improper fraction for simplicity.
25 2 1 = 2 51 liters per km
Calculate the Total Fuel Required:
To find the total fuel needed, multiply the total distance by the fuel usage per kilometer.
4 219 × 2 51 = 8 11169 liters
Converting this back to a mixed number:
8 11169 = 1396 8 1 liters
Determine the Total Cost of Fuel:
If each liter of fuel costs 110, the total cost of the fuel can be calculated by multiplying the total fuel required by the cost per liter.
1396 8 1 × 110 = 153 , 577.5
Therefore, the total amount of fuel required is 1396 8 1 liters, and the total cost is 153,577.5.
