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8 days ago

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Nakita rode her skateboard at an average speed of 8.8 feet per second for 0.2 miles. She wants to calculate how long it took her

to skateboard that distance. Nakita uses the formula d=rt (d = distance, r = rate, t = time), and she knows that 1 mile = 5280 feet and that 1 minute = 60 seconds. How many minutes did it take Nakita to skateboard 0.2 miles at her average speed of 8.8 ft/sec?

1 answer:

lawyer [11.3K]8 days ago

7 0

Answer: $2\ minutes$

Step-by-step explanation:

To determine time "t", we know that:

$d=rt$

Where "d" denotes distance, "r" signifies rate, and "t" means time.

Now isolating the time "t":

$t=\frac{d}{r}$

Initially, we convert miles into feet.

Since $1\ mile=5,280\ feet$ , thus

$d=(0.2\ mi)(\frac{5,280\ ft}{1\ mi})\\\\d=1,056\ ft$

Recognizing that:

$r=8.8\ \frac{ft}{s}$

We substitute these values into $t=\frac{d}{r}$ to find time in seconds:

$t=\frac{1,056\ ft}{8.8\ \frac{ft}{s}}\\\\t=120\ s$

Given:

$1\ minute = 60\ seconds$

The resulting time in minutes is:

$t=(120\ s)(\frac{1\ min}{60\ s})\\\\t=2\ min$

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