Asewage treatment plant has two inlet pipes to its settling pond. one piece can fill the pond 3 times as fast as the other pipe, and together they can fill the pond in 12 hours. how long will it take the faster pipe to fill the pond alone

The faster pipe will take 16 hours to fill the pond alone

Step-by-step explanation:

* Lets explain how to solve the problem

- A sewage treatment plant has two inlet pipes to its settling pond

- One pipe can fill the pond 3 times as fast as the other pipe

∴ The rate of the faster pipe is 3 times the rate of the second pipe

- The rate and the time are inverse proportion because;

 time = job/rate and the job here is constant (fill pool), then

 time × rate = constant

∵ The rate of the faster pipe is 3 times the rate of the second pipe

∴ The time of the second pipe is 3 times the time of the faster pipe

- Assume that the time of the faster pipe is t

∵ The time of the faster pipe is t

∴ The time of the second pipe is 3t

- Together they can fill the pond in 12 hours

∴

- The L.C.M of 3t and t is 3t

∴

∴

∴

- By using cross multiplication

∴ 48 = 3t

- Divide both sides by 3

∴ t = 16

∵ t represents the time of the faster pipe

∴ The time of the first pipe is 16  hours

* The faster pipe will take 16 hours to fill the pond alone

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.