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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Washington Tunnel was built at an elevation of $-6$ meters. Lincoln Tunnel was built at an elevation of $6$ meters. How much higher is the elevation of Lincoln Tunnel than the elevation of Washington Tunnel? $\newline$ (B)Washington Tunnel was built at an elevation of $-6$ meters. Lincoln Tunnel was built at an elevation $6$ meters above Washington's Tunnel. At what elevation was Lincoln Tunnel built?

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Quantities that combine to zero: word problems

Full solution

Q. In which story is the answer to the question

0

?

\newline

Choices:

\newline

(A)Washington Tunnel was built at an elevation of

-6

meters. Lincoln Tunnel was built at an elevation of

6

meters. How much higher is the elevation of Lincoln Tunnel than the elevation of Washington Tunnel?

\newline

(B)Washington Tunnel was built at an elevation of

-6

meters. Lincoln Tunnel was built at an elevation

6

meters above Washington's Tunnel. At what elevation was Lincoln Tunnel built?

Calculate elevation difference: Step $1$ : Solve for the elevation difference in story (A). Calculate the difference between Lincoln Tunnel and Washington Tunnel. $\newline$ Calculation: $6 \text{ meters} - (-6 \text{ meters}) = 12 \text{ meters}.$
Calculate elevation in story: Step $2$ : Solve for the elevation in story $B$ . Calculate the elevation of Lincoln Tunnel based on Washington Tunnel's elevation. $\newline$ Calculation: $-6$ meters + $6$ meters = $0$ meters.
Identify story with $0$ elevation: Step $3$ : Identify which story's answer is $0$ . From Step $1$ , the elevation difference is $12$ meters. From Step $2$ , the elevation of Lincoln Tunnel is $0$ meters.

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