Worm and Log Thickness

The worm Oliver Zoubek decided to bite through the oak log. In the first year, he made a hole in one-third. The second year, he chewed through one-third of the rest. In the third year, again, a third of the rest, and in the fourth year, he had 16 cm left. Zoubek claims that the log is 54 cm thick. Is it right?

Final Answer:

x =  54 cm

Step-by-step explanation:

x/3+(xx/3)/3+(xx/3(xx/3)/3)/3+16=x  0.888889x=48  x=0.8888888948=54  x=54=54 cm



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Need help calculating a sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to convert length units?

You need to know the following knowledge to solve this word math problem:

algebraarithmeticnumbersUnits of physical quantitiesGrade of the word problem

Related math problems and questions: