The table represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree’s house to the library? Distance (mi) Rate (mph) Time (hr) Trip to Library x 6 mph x over 6 Trip to Home x 12 mph x over 12
Answer
A
6 times 12 is equal to x
B
6 plus 12 is equal to x
C
open paren x over 6 close paren times open paren x over 12 close paren is equal to 2
D
x over 6 plus x over 12 is equal to 2
Explanation
Use time = distance ÷ rate. Bree travels x miles to the library at 6 mph, so that trip takes x/6 hours. The return trip is also x miles, and at 12 mph it takes x/12 hours. Since the total travel time is 2 hours, the equation is x/6 + x/12 = 2, which is choice A.
AI-written and checked against the verified answer.