Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of StartFraction 1 Over 16 EndFraction left-parenthesis 42 minus x right-parenthesis. of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill?

A table showing Rate in miles per minute, Time in minutes, and Distance in miles. The first row has Up the Hill, and has StartFraction 1 Over 12, x, and StartFraction 1 Over 12 x. The second shows, Down the Hill, and has StartFraction 1 Over 16 EndFraction, 42 minus x, and question mark.

x
StartFraction 1 Over 16 EndFraction minus x. – x
42 – 42 minus StartFraction 1 Over 16 EndFraction x. x
StartFraction 1 Over 16 EndFraction left-parenthesis 42 minus x right-parenthesis. (42 – x)