6
QuizMultiple Choice

Solving Rate Problems — Quiz

Question 6 • Transition Mathematics for Seniors

Jonas jogged up the hill at an average rate of 112 of a mile per minute and then walked down the hill at an average rate of 116 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? Rate (mi/min) Time (min) Distance (mi) Up the Hill 1 twelfth x 1 twelfth x Down the Hill 1 sixteenth 42 minus x ?

Answer
A
1 sixteenth x
B
42 minus 1 sixteenth x
C
42 sixteenths minus x
D
1 sixteenth times open paren 42 minus x close paren

Explanation

Distance equals rate multiplied by time. The downhill rate is 1/16 mile per minute, and the downhill time is 42 − x minutes, so its distance is (1/16)(42 − x) miles. This matches choice D, 1/16 times (42 minus x). The other expressions do not multiply the downhill rate by the downhill time correctly.

AI-written and checked against the verified answer.

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