Answer:
The three riders travel 93 miles altogether.
Step-by-step explanation:
From the given table we will find the speed of each riders individually.
Speed = [tex]\frac{distance}{time}[/tex]
Speed of Marta = [tex]\frac{8}{80}[/tex] = [tex]\frac{1}{10}[/tex] = 0.1 miles / min.
Speed of Loribeth = [tex]\frac{6}{42}[/tex] = [tex]\frac{1}{7}[/tex] = 0.143 miles/min.
Speed of Ira = [tex]\frac{15}{75}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2 miles / min.
Now we will calculate the distance covered by each riders with their individual speed in 3.5 hours
Since 3.5 hours = 3 × 60 + 30 = 180 + 30 = 210 minutes
Therefore, distance covered by Marta = speed × time.
= 0.1 × 210 = 21 miles
Distance covered by Loribeth = 0.143 × 210 = 30 miles
Distance covered by Ira = 0.2 × 210 = 42 miles
Therefore, total distance covered by all = 21 + 30 + 42 = 93 miles.
The three riders travel 93 miles altogether.