Final answer:
If a train uses 15 litres of petrol to travel 50 km, at the same speed, it could travel 60 km using 18 litres of petrol by setting up a proportion and solving for the unknown distance.
Step-by-step explanation:
The question asks us to calculate the distance a train can travel using a different amount of petrol based on a given ratio. If a train uses 15 litres of petrol to travel 50 km, we can find out how much distance it could travel using 18 litres of petrol by setting up a proportion, since the speed of the train is steady and thus the fuel consumption rate is constant.
Step 1:
Set up the proportion: (15 litres / 50 km) = (18 litres / unknown distance).
Step 2:
Cross-multiply to find the unknown distance: 15 litres × unknown distance = 50 km × 18 litres.
Step 3:
Divide both sides by 15 litres to solve for the unknown distance.
Step 4:
Calculate the result: unknown distance = (50 km × 18 litres) / 15 litres = 60 km.
Therefore, at the same steady speed, the train could travel 60 km using 18 litres of petrol.