Maths Olympiad Prep

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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Luca began a 520520 km trip by car with 1414 litres of fuel in the car tank. His car consumes 11 litre of fuel per 1010 km. After driving 5555 km, he saw a road sign showing the distances from that point to five petrol stations ahead on the road. These distances are 3535 km, 4545 km, 5555 km, 7575 km and 9595 km. The capacity of the car's fuel tank is 4040 litres and Luca wants to stop just once to fill the tank. How far is the petrol station that he should stop at?

(A) 3535 km (B) 4545 km (C) 5555 km (D) 7575 km (E) 9595 km

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