Answer: After walking for 764.28 seconds they will side by side on the trail.
Step-by-step explanation:
Since we have given that
Distance walk by Jerome from the gate = 50 meters
Speed of Jerome = 1.11 m/sec
Distance walk by Noah from the gate = 57 meters
Speed of Noah = 0.97 m/sec
Since they are travelling in the same direction,
So, their Relative speed will be
[tex]1.11-0.97\\\\=0.14\ m/sec[/tex]
According to question, we need to find the time after walking Noah and Jerome will be side-by- side on the trail.
[tex]Time=\frac{Distance}{Ralative\ speed}\\\\time=\frac{50+57}{0.14}\\\\Time=764.28\ seconds[/tex]
Hence, After walking for 764.28 seconds they will side by side on the trail.