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x=the time it took Timothy to hike up the mountain 0.5x = the time it took Timothy to hike down the mountain Together, these
x=the time it took Timothy to hike up the mountain 0.5x = the time it took Timothy to hike down the mountain Together, these expressions give the total time. x+0.5x=6 hours 1.5x = 6 hours I divide 6 by 1.5 to find x equals 4 hours. So it took Timothy 4 hours to hike up the mountain. Since the hike was 6 miles, his rate is 6 miles divided by 4 hours, or 1.5 miles per hour. Use the student's solution to complete the statements. when he related x to the total time of 6 hours. The student To write his equation, the student used the idea of To solve his equation for x, the student used The student justified his solution by which is the opposite of
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