Question

A cowboy at a dude ranch fills a horse trough that is 1.8 m long, 70 cm wide, and 35 cm deep. He uses a 2.0 cm diameter hose from which water emerges at 1.3 m/s. How long does it take him to fill the trough?

Answer 1

Answer: The time taken for the cowboy to fill in the ranch is 12.53 mins.

Explanation:

The given parameters:

- Length of the ranch, L = 1.53 m

- Width of the ranch, w = 61 cm = 0.61 m

- Width of the ranch, w = 61 cm = 0.61 m

- Depth of the ranch, h = 42 cm = 0.42 m

- Diameter of the hose, d = 2 cm

- Radius of the hose, r = 1 cm

- Speed of the water, v = 1.66 m/s

The volume of the ranch is calculated as follows:

V = Lwh

V = 1.53 x 0.61 x 0.42

V = 0.392 m³

but all in all the time taken for the cowboy to fill the ranch is 12.53 min.