Answer:
[tex]10:02:24\ \text{pm}[/tex]
Step-by-step explanation:
d = Distance to travel = 880 miles
s = Average speed of the car = 65 mph
Time taken to cover the distance is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}[/tex]
Time the car stopped
[tex]3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}[/tex]
Total time of the journey
[tex]13.54+1.5=15.04\ \text{hours}[/tex]
Converting [tex]0.04\ \text{hours}[/tex] to minutes
[tex]0.04\times 60=2.4[/tex]
So, the total time taken for the journey is [tex]15\ \text{hours and }2\ \text{minutes and }24\text{seconds}[/tex]
Time when they reach their destination
[tex]7:30+15:2.4\approx 10:02:24\ \text{pm}[/tex]
