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frosja888 [35]
3 years ago
14

Taylor drove from Tampa to New Orleans; her trip took her a total of 9.5 hours. Her average speed for the drive was 69 mph. For

4.5 hours Taylor's average speed was 72 mph. What was her average speed on the remainder of the trip?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

63.6 miles per hour (63.6 mph)

Step-by-step explanation:

We know D = RT

D is distance in miles

R is rate in mph

T is time in hours

Since Taylor took 9.5 hours with an average speed of 69 Miles an hour, total distance is:

D = RT

D = 69 * 9.5 = 655.5 miles

Now,

In 4.5 hours, he drove at 75 miles per hours, so distance he covered is:

75 * 4.5 = 337.5

So for the remaining 9.5 - 4.5 = 5 hours, he drove a distance of 655.5 - 337.5 = 318 miles. His rate would be:

D = RT

318 = R(5)

R = 318/5 = 63.6 miles per hour (63.6 mph)

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Answer:

The answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

Step-by-step explanation:

Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.

First, let's begin with 2:

\frac{2}{5} = \frac{2}{5}

\frac{2}{8} = \frac{1}{4}

\frac{2}{20} = \frac{1}{10}

Then, let's do 5:

\frac{5}{2} = \frac{5}{2}

\frac{5}{8} = \frac{5}{8}

\frac{5}{20} = \frac{1}{4}

Note that we already have \frac{1}{4}, so we do not need to include an additional one.

Now, let us do 8:

\frac{8}{2} = \frac{4}{1}

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\frac{8}{20} = \frac{2}{5}

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Finally, let's do 20:

\frac{20}{2} = \frac{10}{1}

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Now see that we already have both \frac{4}{1} and \frac{5}{2}, so we won't have to include both of them, as they are both extras.

Hence, the answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

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