Final answer:
To determine the quantity of petrol needed for 5 3/5 hours, we multiply the car's hourly consumption of 2 1/2 liters by 5 3/5 hours, yielding 14 liters.
Step-by-step explanation:
The question requires us to calculate the volume of petrol needed for a car to run for a certain amount of time, given its consumption rate per hour. Since the car consumes 2 1/2 liters of petrol in 1 hour, we need to find out how much it will consume in 5 3/5 hours. To do this, we first convert the mixed numbers into improper fractions, then multiply the fractions.
First, 2 1/2 becomes 5/2 liters per hour (since 2 * 2 + 1 = 5). Then, 5 3/5 hours becomes 28/5 hours (since 5 * 5 + 3 = 28). Multiplying 5/2 liters by 28/5 hours:
- 5/2 * 28/5 = (5 * 28) / (2 * 5)
- = 140 / 10
- = 14 liters
Therefore, it will require 14 liters of petrol to run the car for 5 3/5 hours.