Answer:
Time taken for return trip = 2 hours 12 minutes
Step-by-step explanation:
1st trip: fly from the US across the Atlantic
2nd trip: fly back to US (return trip)
Let time taken for 2nd trip be =[tex]t[/tex] hours
Given: The first trip took 2 hours longer
Time taken first trip = [tex](t+2)[/tex] hours
Speed for 1st trip = 212 mph
Speed for 2nd trip = 232 mph
Distance = [tex]Speed\times time[/tex]
Distance for 1st trip = [tex]212\times (t+2)= (212\ t+424)[/tex] miles
Distance for 2nd trip = [tex]232\times t= 232\ t[/tex] miles
We know that the distance is same for both trip as the cargo plane is going and returning back the same distance.
So,
[tex]232t=212t+424[/tex]
subtracting both sides by [tex]212t[/tex]
[tex]232t-212t=212t+424-212t[/tex]
[tex]20t=424[/tex]
Dividing both sides by 20.
[tex]\frac{20t}{20}=\frac{424}{20}[/tex]
∴ [tex]t=21.2[/tex] hours
[tex]t=21\ hours\ and\ 12\ minutes[/tex]
[tex][As\ 0.2\ hours\ =(0.2\times 60)\ minutes=12\ minutes][/tex]
Time taken for return trip = 2 hours 12 minutes
