Question

It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill

a. An inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep.

Answer 1

Answer: it will take 1791 seconds to fill the pool

Explanation:

It takes your garden hose 20 seconds to fill your 2-gallon watering can.

1 us gallon = 0.134 cubic foot

Converting 2 gallons to foot, it becomes

2 × 0.134 = 0.268 cubic foot

The formula for determining the volume if the inflatable pool is

Volume = length × width × height

Therefore,

Volume = 3 × 8 × 1 = 24 cubic feet.

Therefore,

If It takes your garden hose 20 seconds to fill your 0.268 cubic foot watering can, the time it would take to fill 24 cubic feet inflatable pool is

(20 × 24)/0.268 = 1791 seconds

Answer 2

Answer: 1795.44 seconds

Explanation:

Gallon is a metric for measuring volume, Hence we first find the given dimension in cubic feet and convert the resultant volume to gallon.

Volume of pool = 3 * 8 * 1 = 24 cubic feet.

1 cubic foot = 7.481 gallon.

24 cubic feet = (24 * 7.481) = 179.544 gallon.

Since a larger volume means it will take a longer time to fill up this volume, then the volume and time taken are directly proportional to each other.

First we find the constant of proportionality "K'

It takes 20 seconds to fill 2 gallon.

20 = 2 * K

K= 10

Time taken to fill up 179.544 gallon becomes:

= 179.544 * K

= 179.544 *10

= 1795.44 seconds