When the tanker had no leak, it would have carried more weight due to the full amount of the water, and therefore it would have fraction of fuel tank consumed . Specifically, it would have used two thirds of the fuel tank to reach the first village. Explanation: The question describes a situation where a full tanker uses half of its fuel to travel to the first village while carrying and losing half of its water due to a leak. Fuel consumption is directly proportional to the weight the tanker carries. If the tanker did not have a leak, it would not lose any water, and it would therefore be heavier for the entire journey. Consequently, it would consume more fuel to reach the first village. When returning empty from the first village , the tanker uses one sixth of the fuel tank. This suggests that carrying a full load of water doubles the fuel consumption (from one sixth to half of the tank, which is three sixths). Without the leak, the tanker would therefore use two thirds of the fuel tank (twice the amount used when carrying half the water) to reach the first village.
