Marcia rode her bike to Alan’s house. The trip to Alan’s house took x minutes. Returning home, Marcia was able to travel at an average speed 2 times faster than the speed at which she biked to Alan’s house. Which of the following is an expression for the total number of minutes Marcia biked on the entire trip?
G. x / 2
H. x + 2
The correct answer is J.
To solve this problem, make x minutes the time that it took Marcia to get to Alan’s house. On the way home, Marcia went 2 times as fast as she did going to Alan’s house, which means that it took her 1/2 the time, or (1/2)x minutes. The total number of minutes 2 1 that Marcia biked is equal to x minutes + (1/2) x minutes:
x + (1/2)x
To add the fractions together, you must convert x into like terms:
(2/2)x + (1/2)x = (3/2)x
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