Question

The Martinez family walked three over five of a mile in three over eight of an hour. What equation can be used to calculate their unit rate in miles per hour?

three-fifths over three-eights equals one and three-fifths miles per hour

three-eighths over three-fifths equals one and three-fifths miles per hour

three-eighths over three-fifths equals five over eight mile per hour

three-fifths over three-eights equals five over eight mile per hour

Answer 1

velocity=distance/time

v=d/t

So in this case:

v=(3mi/5)/(3hr/8)  that's the equation you need to solve.

v=(3m/5)*(8/3hr)

8/5 mph=(3m/5)*(8/3hr)

1 3/5 mph= (3/5)/(3/8)

So the first statement is correct.

Answer 2

The correct equation from the given options is required.

The correct option is three fifths over three eights equals one and three-fifths miles per hour.

Distance Martinez family walked is three over five of a mile = $\dfrac{3}{5}\ \text{mile}$

Time taken to walk the distance is three over eight of an hour = $\dfrac{3}{8}\ \text{hour}$

Unit rate or speed is given by

$\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}$

$=\dfrac{\dfrac{3}{5}}{\dfrac{3}{8}}\\ \\ =\dfrac{8}{5}=1\dfrac{3}{5}\ \text{miles per hour}$

The unit rate of the family is one and three-fifths miles per hour

The correct option is three fifths over three eights equals one and three-fifths miles per hour

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