45 2/3 x = 392

137 x = 1176

x = 1176/137

x ≈ 8.5839

392 / 45⅔ mins

392 x 3

----------- mins

137

8 • 6 mins

392 rev / 45 2/3 rev/min

= 8 minutes 35.04 seconds

Lots of complex answers. Just DIVIDE 392 by 45 2/3

Since the rotational velocity of the wheel is constant, we can use the following equation to determine the time.

θ = ω * t

392 = 45⅔ * t

t = 392 ÷ 45⅔

The time is approximately 8.58 minutes.

Use unit cancelation.

392 revolutions ..... 1 minute

--------------------- x ---------------

......... 1 ................ 45 2/3 revs

The revolution units cancel out and you just get minutes. So basically take 392 revolutions and divide by 45 2/3.

392 / (45 2/3)

≈ 8.58 minutes

If you want that in minutes and seconds:

8 minutes + 0.58 minutes

0.58 min * 60 sec/min

≈ 35 seconds

Answer:

8 minutes 35 seconds

392 / (45 + 2/3) =>

392 / ((135 + 2) / 3) =>

392 * 3 / 137 =>

8.5839416058394160583941605839416

8 minutes 35.03 seconds

392 rev = 137/3 rev/min * t

t = ...