Traveling 221 miles from Boston Back Bay Station to NYC Penn Station takes 3 hours
and 40 minutes on a train. The opposite trip takes 4 hours and 5 minutes. If both trains
depart at the same time and move at their average speed, what is the displacement of each
train when they pass?

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2022-08-31T15:06:59+02:00

The displacement of the train from Boston Back Bay Station to NYC Penn Station is 116.3 miles

The displacement of the train from NYC Penn Station to Boston Back Bay Station is 104.5 miles.

V(average) = total distance traveled/total time taken

V(train a) = (221 miles) / (3.66 hours)

V(train a) = 60.267 mph

V(train b) = 221 miles / 4.0833 hr

V(train b) = 54.13 mph

t = (221) / (60.267 + 54.13)

t = 1.93 hours

train a = 60.267 mph x 1.93 hr

train a = 116.3 miles

train b = 54.13 mph x 1.93 hr

train b = 104.5 miles

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