We need to find whether the people and the dog will reach the road before sunset.
The people and their dog will not reach the road by 7:30 pm.
The path of the people is 1 km south and a subsequent increase of 1 km distance towards the west direction.
So, the path will be
1 km South, 1 km West
1 km South, 2 km West
1 km South, 3 km West
1 km South, 4 km West
1 km South, 5 km West
In order to reach the road the total 15 km west has to be walked.
So, now the total distance walked west is
[tex]1+2+3+4+5=15\ \text{km}[/tex]
Time to walk = 4 hours and 30 minutes = 4.5 hours
Speed of walking = 4 km/h
Total distance walked = [tex]1+2+3+4+5+1+1+1+1+1=20\ \text{km}[/tex]
Time is given by
[tex]\dfrac{20}{4}=5\ \text{hours}[/tex]
So, Beth, Mack and her dog would not reach the road before sunset.
Learn more:
https://brainly.com/question/16869288
https://brainly.com/question/17207029
