Answer to Question #326296 in Algebra for Shane

Question

Solve each of the following problems using the problem solving strategies.

1.This is known as the "Die Hard Problem" because it appears in the film Die Hard with a Vengeance, shown in 1995. But in fact, this and other similar problems. are very old and have been the subject of much study, particularly by computer scientists who have developed various strategies for solving all water-jug problems. In the film, the characters played by Bruce Willis and Samuel L. Jackson must disarm a bomb by placing exactly four gallons of water on a scale. They have water since they are at a fountain, but they have only two jugs, one of which holds five gallons and the other three gallons. Can you solve the problem, and how quickly can you do it?

Answer 1

Fill a 5-gallon jug, drain 3 gallons into a 3-gallon jug, 2 remain in the five-gallon jug, pour all the water from the 3-gallon jug and pour 2 gallons from the 5-gallon jug there, then fill the five-gallon jug completely and drain the remaining gallon into the 3-gallon jug, Get 4 gallons of water in the 5-gallon jug