exam Maths Puzzle Numerical Ability

Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)

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x+3
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2 = y The worker on machine A can complete a certain job in 6 hours. The worker on machine B can do the same job in 4 hours. In a rush situation, how long would it take both machinists to complete the job?