Multiple choice

In an office setup, there are four departments: Department A, Department B, Department C, and Department D. If four employees from Department A, six employees from Department B and eight employees from Department C work together, they can complete a project in 5 days. However, if five employees from Department A, 10 employees from Department C and five employees from Department D work together, they can finish the same project in 4 days. Alternatively, if three employees from Department B and six employees from Department D work together, they can complete the same project in 8 days. Given these scenarios, how many employees from Department D can complete the same project in one day?

  1. 68

  2. 64

  3. 56

  4. 46

  5. 42
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Let the one day work of one employee from departments A, B, C, and D be a, b, c, and d respectively. The given scenarios translate to the equations 4a + 6b + 8c = 1/5, 5a + 10c + 5d = 1/4, and 3b + 6d = 1/8. Solving this system of equations reveals that the one day work of one employee from department D, represented by d, is 1/64 of the project. Therefore, it will take 64 employees from department D to complete the entire project in one day.

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