Final answer:
The machine uses 3.24 tonnes of fuel in a day, calculated by first finding the rate of fuel consumption per second and then scaling that to the number of seconds in a day.
Step-by-step explanation:
To calculate the amount of fuel the machine will use in a day, we first find the fuel usage rate per second and then scale that up to the total number of seconds in a day.
The rate is 300 g of fuel in 8 seconds, so:
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- Fuel rate per second = 300 g / 8 s = 37.5 g/s
There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute:
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- Seconds in one day = 24 × 60 × 60 = 86,400 seconds
Multiplying the fuel rate per second by the total number of seconds in a day:
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- Total fuel used in a day = 37.5 g/s × 86,400 s = 3,240,000 g/day
To convert grams to tonnes, note that 1 tonne = 1,000,000 grams:
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- Total fuel in tonnes = 3,240,000 g / 1,000,000 g/tonne = 3.24 tonnes/day
Therefore, the machine uses 3.24 tonnes of fuel in a day.