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Priya is traveling by train for her job. The equation gives her distance from her destination, $x$ , after $t$ hours. How long will it take for Priya to reach her destination? $\newline$ Choose $1$ answer: $\newline$ (A) $7.7$ hours $\newline$ (B) $10.1$ hours $\newline$ (C) $78.0$ hours $\newline$ (D) $600.6$ hours

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Priya is traveling by train for her job. The equation gives her distance from her destination,

x

, after

t

hours. How long will it take for Priya to reach her destination?

\newline

Choose

1

answer:

\newline

(A)

7.7

hours

\newline

(B)

10.1

hours

\newline

(C)

78.0

hours

\newline

(D)

600.6

hours

Set Equation to $0$ : Priya's distance from her destination is given by the equation $x = 78(7.7 - t)$ . To find out when Priya reaches her destination, we need to solve for $t$ when $x$ is $0$ .
Divide and Isolate: Set the equation to $0$ : $0 = 78(7.7 - t)$ .
Simplify Equation: Divide both sides by $78$ to isolate the term in parentheses: $\frac{0}{78} = 7.7 - t$ .
Add to Both Sides: Simplify the left side of the equation: $0 = 7.7 - t$ .
Final Solution: Add $t$ to both sides to get $t$ on one side: $t = 7.7$ .

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