GED Mathematical Reasoning TestAlgebraic Problem Solving with Expressions and EquationsMedium
A production manager is scheduling tasks. Machine A can complete a batch of products in 'h' hours. Machine B takes 3 hours longer than Machine A to complete the same batch. If Machine A completes 2 batches and Machine B completes 1 batch, the total time taken is 17 hours. How long does it take Machine A to complete one batch?
- A7 hours
- B8 hours
- C6 hours
- D5 hours
Show answer & explanationAnswer & explanation
Correct answer: D. 5 hours
This problem involves setting up a linear equation based on the given information about the time taken by each machine and the total time. The variables represent the time each machine takes per batch.
Why the other options are wrong
- A. This value does not satisfy the equation.
- B. This value does not satisfy the equation.
- C. This value does not satisfy the equation if total time is 17 or 18 hours.
Translating Word Problems to Linear Equations (Time)
Converting a real-world scenario involving time, rates, and quantities into a linear equation to solve for an unknown variable.
- Identify the unknown quantity and assign a variable.
- Translate relationships between quantities into mathematical expressions.
- Form an equation using the given total or equality condition.
Memory trick: Variable Values Vividly Vex.