Answer:
2.2 miles
Step-by-step explanation:
3 hours and 30 minutes minus 2 hours and 15 minutes is 1 hour and 15 minutes. 2/40 gives you 0.05. 1.15 - 0.05 gives you 1 hour and 10 minutes and multiply that by 2 and it gives you 2.2 miles.
The distance between Terrence’s house from the theater will be 2.4 miles.
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
Let us suppose the following parameters to get the distance.
D = distance of Terrence’s house from the theater
v₁ = speed at which Terrence walks from home to the theater = 2 mi/h
t₁ = time taken by Terrence to walk from home to the theater = D/v₁ = D/2
v₂ = speed at which Terrence returns back to home = 40 mi/h
t₂ = time taken by Terrence to return back to home = D/v₂ = D/40
t' = time spent in watching the movie = 2 h 15 min = 2.25 h
t = total time = 3.5 h
The distance will be calculated as given below:-
t = t₁ + t₂ + t'
3.5 = (D/2) + (D/40) + 2.25
D = 2.4 miles
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