Algebra Assignment

Algebra

Algebra is a branch of mathematics that deals with elementary equations and analysis. It involves solution from elementary equations to abstract problems. Elementary algebra is applied in engineering, sciences, economics and medicine. Abstract algebra, on the other hand, is studied by professional mathematicians and includes in-depth analysis of the theorems and postulates in mathematics. Algebra is different from arithmetic since the former uses abstraction, such as letters to represent numbers and values while the latter simply deals with numbers and its operations (such as addition, subtraction, multiplication and division). However, algebra problems involve the use of arithmetic techniques to be solved.

Problem

EJ can complete an experiment on ethanol production in 24 hours. Lhav can perform the same experiment in 12 hours while Klang requires 5 hours. If EJ, Lhav and Klang work together, how long will it take for them to complete the experiment? If the presentation of the data gathered is in 4 hours, will they be able to finish the experiment and present the data on time?

Solution

Let r be the rate of each person in performing the experiment.

Let t be the time to complete the experiment in hours

Therefore, if EJ, Lhav and Klang work together, they can finish the experiment in 3 hours and 4.62 minutes. They will also be able to present the results of the experiment on time.