# Frank and Lynn are co-workers getting paid the same salary. They both decide to quit their jobs and start going to school on the same day

Frank and Lynn are co-workers getting paid the same salary. They both decide to quit their jobs and start going to school on the same day. Frank gets a degree after just 18 months and spends \$6,500 dollars on his education.

Lynn only spends \$3,500, but it takes her 2 years to get her degree.

Assuming that they each will make \$6,000 more per year after graduating, which of the following is true?

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1. To determine which statement is true, we need to evaluate the total cost and time taken for Frank and Lynn to achieve their degrees and how these factors impact their overall financial situation after graduation.

Here is the information we need to consider:

• Frank:
• Time to degree: 18 months (1.5 years)
• Cost of education: \$6,500
• Increased annual salary after graduation: \$6,000
• Lynn:
• Time to degree: 2 years
• Cost of education: \$3,500
• Increased annual salary after graduation: \$6,000

Let’s break down the financial impacts:

1. Total Costs and Time to Recoup Educational Expenses:
• Frank’s total cost: \$6,500
• Time to recoup costs after graduation: \$6,500 / \$6,000 per year = 1.083 years (approximately 1 year and 1 month)
• Lynn’s total cost: \$3,500
• Time to recoup costs after graduation: \$3,500 / \$6,000 per year = 0.583 years (approximately 7 months)
2. Total Time from Starting School to Recouping Costs:
• Frank: 1.5 years (school) + 1.083 years (recouping) = 2.583 years (approximately 2 years and 7 months)
• Lynn: 2 years (school) + 0.583 years (recouping) = 2.583 years (approximately 2 years and 7 months)

Based on this analysis:

• Both Frank and Lynn will take approximately the same total time (2 years and 7 months) from starting school to recoup their educational costs after graduation.
• Despite Lynn spending less on her education, the longer time it takes her to complete the degree balances out the shorter time it takes her to recoup her costs, resulting in a similar total financial impact over the given period.

Therefore, the statement that is true is:

• Both Frank and Lynn will have the same total financial impact (in terms of total time to recoup costs) from the time they start school until they have recouped their educational expenses after graduation.