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A driver starts a journey with 30 liters of petroleum in the fully-filled tank of his motorcycle, which burns 8 liters for every 100 km. Fueling stations are located 150 km apart from each other. During his journey, he tried to cover the maximum possible distance with two full refills of fuel. What is the distance covered by the driver if he got to the destination with a half full tank ?

Respuesta :

sqdancefan

Answer:

  787.5 km

Step-by-step explanation:

The range of the motorcycle is ...

  (30 L)/(8 L/(100 km)) = 375 km

but the driver must stop to refuel after 300 km. At the second fuel stop, he will have covered 300 km × 2 = 600 km. On half a tank, he can cover an additional 375/2 km = 187.5 km. His total distance covered will be ...

  2 × 300 km + 187.5 km = 787.5 km

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A "full refuel" will consist of adding 24 L to the 6 remaining in the tank at each of the fuel stops.

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