Man starts a journey with 30l of fuel in the fully-filled tank in bike, 8 liters for every 100 km.

Question

The man starts a journey with 30l of fuel in the fully-filled tank in the bike, covers 8l for every 100 km. Fuel stations are located 150 km apart. He tried to cover the maximum possible distance with two full refills of fuel. What is the distance covered by him if he got to the destination with a half full?

Answer 1

With 30 l of fuel, the man may make it for (30 l)*(100 km)/(8 l) = 375 km, but since the fuel stations are 150 km apart, he must stop at 300 km (a multiple of 150) to refuel.

He leaves the refueling station with a full tank, and can go another 375 km before refueling, but he must refuel at the station at 300 km. Now. he can only use 15 l (a half tank), so he may go a maximum of 375/2 = 187.5 km (since he may use only half of the fuel, he may go only half of the maximum distance).

300 km + 300 km + 187.5 km = 787.5 km