I don't know if this is 100% correct...but i think this is how you would solve this problem!!!
OOOKKKKK.........
We all know that a well is circular. So, First, lets find out the circumference of the wheel.
Given :
radius = 10 feet
π = 22 / 7
We know,
Circumference = 2πr
= 2 × (22 / 7) × 10
= 62.9 ft.
Now,
One revolution means the wheel has covered a distance equal to its circumference. So, 22 revolutions per minute means that the wheel is covering 22 times its circumference in 1 minute. So, Lets convert the revolution to feet.
Given,
The wheel is travelling at 22 revolutions per minute.
= 22 * Circumference per minute
= 22 * 62.9 ft. per minute
= 1383.8 ft. per minute
Now, that we know how much feet it is travelling in 1 minute, we can easily find how much it takes it to travel 10 feet.
Using unitary method,
The wheel travels 1383.8 ft. in 1 minute
The wheel travels 1383.8 ft. in 60 seconds.
The wheel travels 1 ft. in (60 / 1383.8) seconds.
The wheel travels 10 ft. in (60 / 1383.8) * 10 seconds.
= 0.4 seconds
So, the answer is 0.4 seconds. Of course...the answer is rounded!!
