Question

Two experienced workers and three trainees can complete a project tin 10 days; three experienced workers and two trainees can do the same project in 8 days. If I hire two experienced workers and one trainee, they should be able to complete the project in 11 1/2 days.

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Answer 1

Hiring two experienced workers and one trainee would take approximately 26 2/3 days to complete the project, not 11 1/2 days.

Step-by-step explanation:

To solve this problem, we can assign rates of work to each worker. Let's say the rate of work for an experienced worker is x projects per day and the rate of work for a trainee is y projects per day.

From the given information, we can set up the following equations:

2x + 3y = 1/10 (Equation 1)

3x + 2y = 1/8 (Equation 2)

Solving these two equations, we find that x = 1/40 and y = 1/80.

Now, let's calculate the combined rate of work for two experienced workers and one trainee:

(2 * 1/40) + (1 * 1/80) = 1/20 + 1/80 = 3/80 projects per day.

Using the combined rate of work, we can calculate the number of days it would take for them to complete the project:

(1 project) / (3/80 projects per day) = 80/3 days = 26 2/3 days.

Therefore, hiring two experienced workers and one trainee would take approximately 26 2/3 days to complete the project, not 11 1/2 days.