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IMAS 2021 — Middle Primary Grades 3–4 — Round 2 Question 6

IMAS · IMAS 2021 — Middle Primary Grades 3–4 — Round 2

Question 6

One day, Robert went to a library 1600 meters away from home to meet with his
classmates at 13 : 20. Robert leaves home at 13 : 00, walking at a constant speed
of 80 meters per minute. At exactly 13 : 05, Robert's mother noticed that he left
his wallet at home, so she chased him walking at a speed of 120 meters per
minute. Robert only realized he left his wallet at home at 13 : 10, so he walked
back casually at a speed of 80 meters per minute. Robert and his mother met
halfway through. After taking his wallet, he again walked back towards the
library at a speed of 80 meters per minute. If we ignore the time Robert took to
get the wallet from his mother, how much time, in minutes, did he waste?