Question

Bob traveled 90 miles which was 83 1 3 % of his trip.
How long was the trip?

Answer 1

Total journey of bob was 108 miles .

Step-by-step 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 :

⇒ $Distance = 90miles$

Which is $83\frac{1}{3}\%$ of his journey . So , Let total  miles be x , So we have following equation framed according to question as :

⇒ $\frac{83\frac{1}{3} x}{100} =90$

⇒ $\frac{83\frac{1}{3} x}{100}(100) =90(100)$

⇒ $\frac{83(3)+1}{3} x=90(100)$

⇒ $\frac{250}{3} x=9000$

⇒ $x=9000(\frac{3}{250} )$

⇒ $x=108miles$

Therefore , Total journey of bob was 108 miles .