Question

Michael drove his car for 150 minutes at a constant speed of 75 miles per hour and then for another 2 hours at a constant speed of 81 miles per hour.
How far did Michael drive? Show or explain how you got your answer.?

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Answer 1

Answer:

he traveled a total of 349.5 miles.

Step-by-step explanation:

*First we convert the 150 minutes to hours, that is :

$h=\frac{1.150}{60} \\h=2.5$

Now we determine the distance Michael traversed during those 2.5 hours:

$d_{1} =2.5.75 \\d_{1} =187.5$

He transversed 187.5 miles.

We also determine the distance he tranversed the two remaining hours:

$d_{2} =2.81 \\d_{2} =162$

He also traveled 162 miles

Finally we add both traversed distances:

$d_{t}=187.5+162 \\d_{t} =349.5$

So , he traveled a total of 349.5 miles.

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