Verified Answer :
He drives 75 1/3 miles in 60 mins
8 3/4 hours is 525 mins
75 1/3 divided by 60 is 1 1/4 miles per minute
1 1/4 x 525 mins = 659.16666667 miles
Jill can drive\(659\frac{2}{12} miles\) in \(8\frac{3}{4} hours\) .
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What is mixed fraction?
A fraction represented with its quotient and remainder is a mixed fraction.
How to convert mixed fraction into improper fraction?
First, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.
According to the given question
Distance covered by Jill in one hour = \(75\frac{1}{3} =\frac{226}{3}miles\)
Therefore,
distance covered by Jill in \(8\frac{3}{4} hours\) = \(\frac{226}{3}\) × \(\frac{35}{4}\) \((8\frac{3}{4} = \frac{35}{4})\)
distance covered by jill in \(\frac{35}{4} =\) \(\frac{7910}{12}\) = \(659\frac{2}{12}\) miles
Hence, Jill can drive \(659\frac{2}{12} miles\) in \(8\frac{3}{4}\) hours.
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