Final answer:
To determine how many miles Sandeep can travel with 22 litres of fuel, a direct proportionality is used, where it's calculated that Sandeep can drive approximately 209 miles on 22 litres of fuel.
Step-by-step explanation:
To find out how many miles Sandeep can drive with 22 litres of fuel, given that he used 8 litres to travel 76 miles, we need to use the concept of direct proportionality. The distance travelled is directly proportional to the amount of fuel used, which means we can set up a ratio to solve the problem.
First, we calculate the number of miles that can be driven per litre of fuel by dividing the total miles by the total litres used:
Miles per litre = 76 miles / 8 litres = 9.5 miles/litre
Next, we multiply the miles per litre by the total litres of fuel Sandeep plans to use:
Expected distance = 9.5 miles/litre * 22 litres = 209 miles
Therefore, Sandeep should be able to travel approximately 209 miles with 22 litres of fuel.