Verified Answer :

Let x be total amount traveled Therefore, x(.8333) = 90 x = 108 108 miles

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Answer:

The length of trip is 108 miles.

Step-by-step explanation:

Consider the provided information,

Bob traveled 90 miles which was 83 1/3 % of his trip.

Let the total number of miles is x.

It is given that 83 1/3% of x is 90.

Therefore,

\(x\times 83\frac{1}{3}\%=90\)

\(x\times \frac{250}{3}\times \frac{1}{100}=90\)

\(x\times \frac{5}{6}=90\)

\(x=90\times \frac{6}{5}\)

\(x=18\times6\)

\(x=108\)

Hence the length of trip is 108 miles.