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[tex] 42\dfrac{1}{3}=\dfrac{42\cdot3+1}{3}=\dfrac{127}{3}\ mi\\\\1\dfrac{1}{3}=\dfrac{1\cdot3+1}{3}=\dfrac{4}{3}\ h\\\\\left(\dfrac{127}{3}\right):\left(\dfrac{4}{3}\right)\ mph=\dfrac{127}{3}\cdot\dfrac{3}{4}\ mph=\dfrac{127}{4}\ mph=31.75\ mph [/tex]

Answer: Graham was driving 31.75 miles per hour.

Graham will travel 31 3/4 miles if he drove 42 1\3 miles in 1 1\3 hours.

The amount of miles he drove in an hour is its speed. The formula for calculating the speed of Graham is expressed using the formula below

Speed = Distance/Time

Given the following parameters

Distance = 42 1\3 miles = 127/3 miles

Time =  1 1\3 hours = 4/3 hours

Substitute into the given formula as shown;

Distance = 127/3 ÷ 4/3

Distance traveled = 127/3 × 3/4

Distance traveled = 127/4

Distance traveled = 31 3/4 miles

Hence Graham will travel 31 3/4 miles if he drove 42 1\3 miles in 1 1\3 hours.

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