Question

The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip will be on a highway, where they will travel at an average speed of 65 miles per hour. They are leaving at 7:30 am, and they plan to stop 3 times for 10 minutes each and once for 1 hour. What is the approximate travel time?

Answer 1

Answer:

$10:02:24\ \text{pm}$

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

$t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}$

Time the car stopped

$3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}$

Total time of the journey

$13.54+1.5=15.04\ \text{hours}$

Converting $0.04\ \text{hours}$ to minutes

$0.04\times 60=2.4$

So, the total time taken for the journey is $15\ \text{hours and }2\ \text{minutes and }24\text{seconds}$

Time when they reach their destination

$7:30+15:2.4\approx 10:02:24\ \text{pm}$