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Max is scuba diving at elevation of -64.5 feet, when friend signals to come higher. Max makes 2 descents, each an equal distance to reach an elevation of -21.4 feet, where his friend is located. What was max’s elevation after his first ascent?

Answer :

Let x be the distance of each descent.

Then:

[tex]-64.5+x+x=-21.4[/tex]

Solving the equation:

[tex]-64.5+2x=-21.4[/tex]

Adding 64.5 to both sides and then dividing the sides by 2:

[tex]\begin{gathered} -64.5+2x+64.5=-21.4+64.5 \\ 2x=43.1 \\ \frac{2x}{2}=\frac{43.1}{2} \\ x=21.55 \end{gathered}[/tex]

So, after the first descent, the distance is:

[tex]\begin{gathered} -64.5+21.55 \\ -42.95 \end{gathered}[/tex]

Answer: - 42.95 feet.

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