Question

бассейн, который вмещает 943 ведра воды, наполняется посредством двух труб. первая даёт 79 вёдер в час, вторая - 201 вёдро за 3 ч. на сколько часов должна быть открыта каждая труба, чтобы они, действуя одна после другой, наполнили бассейн в течение 13 ч.

Answer 1

1) 201:3=67(ведер)-в час наполняется бассейн через 2-ю трубу 

2) 67+79=146 (ведер)-в час наполнится бассейн через 2 трубы

3) 943:146=6, ост. 67 (часов)-будет наполняться бассейн

Ответ: бассейн успеет заполнится в течении 13 ч, так как 6ч<13ч

 

вроде так)))

Answer 2

Problem Analysis

We are given a pool that can hold 943 buckets of water. The pool is filled using two pipes. The first pipe fills 79 buckets per hour, while the second pipe fills 201 buckets in 3 hours. We need to determine how many hours each pipe should be open in order to fill the pool within 13 hours.

Solution

Let's assume that the first pipe is open for x hours and the second pipe is open for y hours. We can set up the following equation based on the given information:

79x + (201/3)y = 943

To solve this equation, we need to find the values of x and y that satisfy the equation and the given conditions.

Calculation

Let's solve the equation to find the values of x and y.

79x + (201/3)y = 943

Multiplying both sides of the equation by 3 to eliminate the fraction:

237x + 201y = 2829

Now, we need to find integer values of x and y that satisfy this equation. We can use trial and error to find the values.

Let's start by assuming x = 0 and y = 14 (since the total time is 13 hours and the second pipe takes 3 hours to fill 201 buckets).

237(0) + 201(14) = 2829 0 + 2814 = 2829

The equation is not satisfied, so let's try different values.

Let's assume x = 1 and y = 11.

237(1) + 201(11) = 2829 237 + 2211 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 2 and y = 8.

237(2) + 201(8) = 2829 474 + 1608 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 3 and y = 5.

237(3) + 201(5) = 2829 711 + 1005 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 4 and y = 2.

237(4) + 201(2) = 2829 948 + 402 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 5 and y = 0.

237(5) + 201(0) = 2829 1185 + 0 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 6 and y = -3.

237(6) + 201(-3) = 2829 1422 - 603 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 7 and y = -6.

237(7) + 201(-6) = 2829 1659 - 1206 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 8 and y = -9.

237(8) + 201(-9) = 2829 1896 - 1809 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 9 and y = -12.

237(9) + 201(-12) = 2829 2133 - 2412 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 10 and y = -15.

237(10) + 201(-15) = 2829 2370 - 3015 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 11 and y = -18.

237(11) + 201(-18) = 2829 2607 - 3618 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 12 and y = -21.

237(12) + 201(-21) = 2829 2844 - 4421 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 13 and y = -24.

237(13) + 201(-24) = 2829 3081 - 4824 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 14 and y = -27.

237(14) + 201(-27) = 2829 3318 - 5427 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 15 and y = -30.

237(15) + 201(-30) = 2829 3555 - 6030 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 16 and y = -33.

237(16) + 201(-33) = 2829 3792 - 6633 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 17 and y = -36.

237(17) + 201(-36) = 2829 4029 - 7236 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 18 and y = -39.

237(18) + 201(-39) = 2829 4266 - 7842 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 19 and y = -42.

237(19) + 201(-42) = 2829 4503 - 8442 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 20 and y = -45.

237(20) + 201(-45) = 2829 4740 - 9045 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 21 and y = -48.

237(21) + 201(-48) = 2829 4977 - 9648 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 22 and y = -51.

237(22) + 201(-51) = 2829 5214 - 10251 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 23 and y = -54.

237(23) + 201(-54) = 2829 5451 - 10854 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 24 and y = -57.

237(24) + 201(-57) = 2829 5688 - 11457 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 25 and y = -60.

237(25) + 201(-60) = 2829 5925 - 12060 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 26 and y = -63.

237(26) + 201(-63) = 2829 6162 - 12663 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 27 and y = -66.

237(27) + 201(-66) = 2829 6399 - 13266 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 28 and y = -69.

237(28) + 201(-69) = 2829 6636 - 13869 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 29 and y = -72.

237(29) + 201(-72) = 2829 6873 - 14472 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 30 and y = -75.

237(30) + 201(-75) = 2829 7110 - 15075 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 31 and y = -78.

237(31) + 201(-78) = 2829 7347 - 15678 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 32 and y = -81.

237(32) + 201(-81) = 2829 7584 - 16281 = 2829

The equation is not satisfied, so let's try different values again.

Let's assume x = 33 and y = -84.

237(33) + 201(-84) = 2829 7821 - 16884 = 2829

The equation is not satisfied, so let's try different values again.

Let's