Question

Для очистки пруда, содержащего 2800 м^3 воды, предполагалось к определенному сроку выкачать всю воду с помощью насосов. Так как насосов было прислано меньше, чем ожидалось, то ежедневно выкачивали на 20м^3 меньше предполагаемой нормы. Через день после истечения намеченного срока оставалось выкачать ещё 100 м^3 воды. За сколько дней предполагалось выкачать воду?

Answer 1

Х-плановая производительность
2800/х+1=(2800-100)/(х-20)
2800/х+х/х=2700/(х-20)
(2800+х)/х=2700/(х-20)
(2800+х)*(х-20)=2700х
2800х-56000+х²-20х=2700х
х²+80х-56000=0
д=230400
х₁=-280- не подходит
х₂=200
2800/200=14 дней-За столько дней предполагалось выкачать воду

проверка
2800/200=14
2700/180=15

Answer 2

Calculating the Time Required to Pump Water from the Pond

To calculate the time required to pump water from the pond, we can use the given information about the volume of the pond, the daily pumping rate, and the remaining volume of water to be pumped.

Given: - Volume of water in the pond: 2800 m^3 - Daily pumping rate lower than expected: 20 m^3 less than the planned amount - Remaining volume of water to be pumped after the deadline: 100 m^3

Calculating the Daily Pumping Rate

To calculate the daily pumping rate, we can subtract the daily deficit from the planned amount.

Planned daily pumping rate = Planned total volume / Number of days Planned total volume = 2800 m^3 Number of days = x (to be calculated)

Planned daily pumping rate = 2800 / x

Actual daily pumping rate = Planned daily pumping rate - Daily deficit Actual daily pumping rate = (2800 / x) - 20

Calculating the Total Time Required

To find the total time required to pump the remaining water, we can use the formula: Total time = Remaining volume / Actual daily pumping rate

Total time = 100 / ((2800 / x) - 20)

Now, we can solve for x to find the number of days required to pump the remaining water.

Let's calculate the value of x using the given information.

Calculations

Planned daily pumping rate = 2800 / x Actual daily pumping rate = (2800 / x) - 20 Total time = 100 / ((2800 / x) - 20)

Solution

The number of days required to pump the remaining water can be calculated using the above formula. Let's calculate the value of x.