Question

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? minutes

Answer 1

2 minutes

Explanation:

If d = r*t then in our case:

d = 0.2 miles

r = 8.8 ft/sec

t = unknown

or

0.2 = 8.8 * t

We now need to convert everything to the proper units.

Let's convert 0.2 miles to feet using this equation:

`(0.2)/(x) = (1)/(5280)`

Cross multiply to get:

x = 1056

That means 0.2 miles is equivalent to 1056 feet

Now let's convert 8.8ft/sec to ft/min using this equation

`(8.8)/(1) *(60)/(1)`

8.8 * 60 = 528 ft/min

Now, our d = rt equation looks like this:

1056 = 528 * t

Let's find t by dividing both sides by 528 to get

t = 2 minutes