Question

Lane knows that when he runs, he takes about 180180 steps per minute and that each step is 3.253.25 feet long. Which calculation is most reasonable for Lane to use to find out his running speed in miles per hour?

Answer 1

Since we know that Lane is travelling at 180 steps per minute and that each step is 3.25 feet long, we can easily find his running speed in feet/min. This will be equal to

$\frac{180}{min}* 3.25 ft=585 \frac{ft}{min}$

To find the speed in miles per hour, we just perform a dimensional analysis. We can use the conversion factors 5280 ft = 1 mile and 60 min = 1 hr to calculate for the speed in miles per hour:

$\frac{585ft}{min} = \frac{1mile}{5280ft} = \frac{60min}{1hr} =6.65 \frac{miles}{hr}$

Answer 2

Answer:  6.65 miles per hour (Approx).

Step-by-step explanation:

Since, he takes about 180 steps per minute.

And, each step is 3.25 feet long.

Therefore, length of 180 feet = 180×3.25 = 585 feet.

Thus, he takes 1 min to cover 585 feet.

⇒ The length he covers in 1 hour = 585 × 60 = 35100 feet.

Since, 1 miles = 5280 feet ⇒ 1 feet = 1/5280 miles.

Therefore, The length he covers in 1 hour= 35100 × 1/5280= 6.64772727273

But, Speed = miles he covers/ time taken by him

= 6.64772727273/1 = 6.64772727273 miles per hour ≈ 6.65 miles per hour