Total journey of bob was 108 miles .
Explanation:
Here we have , Bob traveled 90 miles which was 83 1 3 % of his trip. We need to find How long was the trip .Let's find out:
According to question , Bob has traveled a distance of :
⇒
![Distance = 90miles](https://img.qammunity.org/2021/formulas/mathematics/middle-school/oko7te9k96sx89upaj5tlbwhqs34tmc4x0.png)
Which is
of his journey . So , Let total miles be x , So we have following equation framed according to question as :
⇒
![(83(1)/(3) x)/(100) =90](https://img.qammunity.org/2021/formulas/mathematics/middle-school/88i5u0mlhdividur94wtgi03vc8hzn4tpf.png)
⇒
![(83(1)/(3) x)/(100)(100) =90(100)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/h8ibqfp8t2y4mkdkdmnt7g3umehff9gbwj.png)
⇒
![(83(3)+1)/(3) x=90(100)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a3f9gt07r4nfdcsjdg4zesxeumzseog0w8.png)
⇒
![(250)/(3) x=9000](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t43ygr81n7b110sqk42hm9l9qg8dm1i9je.png)
⇒
![x=9000((3)/(250) )](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2z0alp0f2blwpwohkxendoixfil2zlmpfz.png)
⇒
![x=108miles](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mabl3j05t9h4z8ro5dtp6qf08zomjxelv9.png)
Therefore , Total journey of bob was 108 miles .