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QuizMultiple Choice

Solving Rate Problems — Quiz

Question 1 • Transition Mathematics for Seniors

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend? Rate (mi/h) Time (h) Distance (miles) Part 1 4 x 4 x Part 2 5 0 point 7 minus x 5 times open paren 0 point 7 minus x close paren

Answer
A
4 x plus 5 times open paren 0 point 7 minus x close paren is equal to 1
B
4 x plus 5 times open paren 0 point 7 minus x close paren is equal to 3
C
x plus open paren 0 point 7 minus x close paren is equal to 1
D
x is equal to 0 point 7 minus x

Explanation

Use distance = rate × time for each part of the walk. Yi walked 4x miles before meeting her friend and 5(0.7 − x) miles afterward. Since the entire walk was 3 miles, the equation is 4x + 5(0.7 − x) = 3, which is choice B.

AI-written and checked against the verified answer.

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