# Pool

If water flows into the pool by two inlets, fill the whole for 8 hours. The first inlet filled pool 6 hour longer than second. How long pool take to fill with two inlets separately?

**Result****Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):**

**Showing 3 comments:**

**Math student**

1/t1+1/(t1-10)=1/18

multiply each term by18(t1)(t1-10)

that results in

18(t1-10)+18t1=t1(t1)(t1)-10t1

using the quadratic formula results in t1=-49.6 and 3.63

ubless i made a mistake, your calculations need reexamination!!! Correct me, please.

multiply each term by18(t1)(t1-10)

that results in

18(t1-10)+18t1=t1(t1)(t1)-10t1

using the quadratic formula results in t1=-49.6 and 3.63

ubless i made a mistake, your calculations need reexamination!!! Correct me, please.

6 months ago 2 Likes

**Dr Math**

right side of equation is wrong - should be t1*(t1-10) = t1

^{2}- 10*t1 now t1^{3}-10t1**Math student**

the problems seems to have changed - - - t2 is now equal t1-6

therefore 1/t1+1/(t1-6)=1/18

multiplying each term by18(t1)(t1-6) ==== 18(t1-6)+18t1=t1(t1-6), simplifying further 18t1-108+18t1=t1

or 0=t1

graphing y=18(t1-6)+18t1-t1(t1-6) results in t1=39.25 hours and t2=39.25-6=33.25 hours (same as your NEW answer!!!!

therefore 1/t1+1/(t1-6)=1/18

multiplying each term by18(t1)(t1-6) ==== 18(t1-6)+18t1=t1(t1-6), simplifying further 18t1-108+18t1=t1

^{2}-6t1or 0=t1

^{2}-6t1-18t1+108graphing y=18(t1-6)+18t1-t1(t1-6) results in t1=39.25 hours and t2=39.25-6=33.25 hours (same as your NEW answer!!!!

#### To solve this verbal math problem are needed these knowledge from mathematics:

## Next similar examples:

- TV transmitter

The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have. - Pool

The swimming pool is 10 m wide and 8 m long and 153 cm deep. How many hectoliters of water is in it, if the water is 30 cm below its upper edge? - Pipes

Water pipe has a cross-section 1087 cm^{2}. An hour has passed 960 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 9 hours if water flow same speed? - Tanks

Fire tank has cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used, if the water level in the tank fallen 5 cm? Wr - Sea water

Seawater contains about 4.3% salt. How many dm^{3}of distilled water we must pour into 5 dm^{3}of sea water to get water with 1.8% salt? - Water

Mix 68 l of water with temperature of 87 °C, 17 l warm of 42 °C and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing? - Transforming cuboid

Cuboid with dimensions 8 cm, 13, and 16 cm is converted into a cube with the same volume. What is its edge length? - Alcohol

How many 55% alcohol we need to pour into 14 liters 75% alcohol to get p3% of the alcohol? How many 65% alcohol we get? - Cube in a sphere

The cube is inscribed in a sphere with volume 9921 cm^{3}. Determine the length of the edges of a cube. - Axial section

Axial section of the cone is an equilateral triangle with area 208 dm^{2}. Calculate the volume of the cone. - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Cuboid

Cuboid with edge a=16 cm and body diagonal u=45 cm has volume V=11840 cm^{3}. Calculate the length of the other edges. - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 257 mm^{2}. - Sphere

The surface of the sphere is 12100 cm^{2}, and weight is 136 kg. What is its density? - Cylinders

Area of the side of two cylinders is same rectangle of 50 cm × 11 cm. Which cylinder has a larger volume and by how much? - Density - simple example

Material of density of 532 kg/m^{3}occupies a container volume of 79 cm^{3}. What is its mass? - Cuboid diagonal

Calculate the volume and surface area of the cuboid ABCDEFGH, which sides abc has dimensions in the ratio of 9:3:8 and if you know that the wall diagonal AC is 86 cm and angle between AC and the body diagonal AG is 25 degrees.