It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.
Step-by-step explanation:
Given,
Distance covered = [tex]30\frac{1}{3}[/tex] = [tex]\frac{91}{3}[/tex] miles
Time taken =[tex]\frac{1}{3}[/tex] hour
We know that;
Distance = Speed * Time
[tex]\frac{91}{3} = Speed*\frac{1}{3}[/tex]
Multiplying both sides by 3
[tex]3*\frac{91}{3} = Speed*\frac{1}{3}*3[/tex]
91 = Speed
Bob was driving at 91 miles per hour.
Now,
Distance to cover = 100 miles
Time required = x
Distance = Speed * Time
[tex]100=91x\\91x=100[/tex]
Dividing both sides by 91
[tex]\frac{91x}{91}=\frac{100}{91}\\x=1\frac{9}{91}[/tex]
It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.
Keywords: fraction, distance
Learn more about distance at:
#LearnwithBrainly
