Answer to Question #309645 in Statistics and Probability for joe

Question

At the beginning of the road, a tank truck was traveling full of water in the water tank, but it began to leak. You can assume that the fuel consumption of the truck is directly proportional to the weight it carries, and that the water flow (in the 

leakage) and the speed of the truck are constant for the whole journey. After traveling for miles, the truck leaked half of the water from the water tank and consumed half of the fuel tank. If the water tank was empty, the truck would have spent a sixth of the fuel tank, if it travelled the same distance and 

under the same conditions as above. Disregarding the fuel tank weight, what fraction of the fuel tank would be spent by the truck if there was no leak?

Answer the question by breaking the problem down into:

assumptions, model and solution/discussion.