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As Kelly improves her algebra skills, she takes $0.9$ times as long to complete each homework assignment as she took to complete the preceding assignment.

If it took her $50\text{ minutes}$ to complete her first assignment, find the total time she took to complete her first five homework assignments. Round to the nearest minute.

A

$172\text{ minutes}$

B

$205 \text{ minutes}$

C

$234 \text{ minutes}$

D

$136 \text{ minutes}$

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