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Question

A diver descends 20 feet underwater from a boat on the surface of the lake. He then rises 12 feet and descends another 18 feet. Find his final position.

A
13 feet below the surface of the lake.
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B
17 feet below the surface of the lake.
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C
21 feet below the surface of the lake.
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D
26 feet below the surface of the lake.
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Solution

The correct option is D 26 feet below the surface of the lake.
Let the initial position of the diver be 0.
Descend of 20 feet -------- (-20)
Then rises 12 feet -------- ( +12)
Descend of 18 feet ------- ( -18)

Final position of the diver
= (-20 +12 -18) feet
= -26 feet

Therefore, the man is now at 26 feet below the surface of the lake.

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