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A circuit is 3500 meters long, each vehicle uses an average of 60 liters per 100 and each half liter costs 2.50. If a vehicle makes 30 laps, what will be the cost per lap?

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Answer to a math question A circuit is 3500 meters long, each vehicle uses an average of 60 liters per 100 and each half liter costs 2.50. If a vehicle makes 30 laps, what will be the cost per lap?

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Rasheed
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The length of the circuit is 3500 meters, which is equivalent to: 3500 \, \text{meters} = 3.5 \, \text{kilometers} If the vehicle makes 30 laps, the total distance is: 30 \times 3.5 \, \text{kilometers} = 105 \, \text{kilometers} The vehicle uses 60 liters of fuel per 100 kilometers, so for 105 kilometers, it will use: 60 \, \text{liters} \times \frac{105 \, \text{kilometers}}{100 \, \text{kilometers}} = 63 \, \text{liters} Each half liter costs 2.50 monetary units, so one full liter costs: 2 \times 2.50 \, \text{monetary units} = 5.00 \, \text{monetary units} Therefore, the total cost for 63 liters is: 63 \, \text{liters} \times 5.00 \, \text{monetary units} = 315 \, \text{monetary units} To find the cost per lap, we divide the total cost by the number of laps: \frac{315 \, \text{monetary units}}{30 \, \text{laps}} = 10.50 \, \text{monetary units/lap}

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