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Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason $50$ minutes to paint a $160$ -square-foot wall. It took Seth $30$ minutes to paint a $120$ -square-foot wall. Who painted faster? $\newline$ Choices: $\newline$ (A) Jason $\newline$ (B) Seth

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Evaluate piecewise-defined functions

Full solution

Q. Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason

50

minutes to paint a

160

-square-foot wall. It took Seth

30

minutes to paint a

120

-square-foot wall. Who painted faster?

\newline

Choices:

\newline

(A) Jason

\newline

(B) Seth

Calculate Jason's speed: Calculate Jason's painting speed by dividing the area he painted by the time it took. $\newline$ Jason's speed = $\frac{160 \text{ square feet}}{50 \text{ minutes}} = 3.2 \text{ square feet per minute}.$
Calculate Seth's speed: Calculate Seth's painting speed by dividing the area he painted by the time it took. Seth's speed = $\frac{120 \text{ square feet}}{30 \text{ minutes}} = 4 \text{ square feet per minute}.$
Compare painting speeds: Compare the painting speeds to determine who painted faster. $\newline$ Since $4$ square feet per minute (Seth) is greater than $3.2$ square feet per minute (Jason), Seth painted faster.

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