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14 equal pipes can fill a water tank in 18 minutes, find the number of pipes required to fill up the tank in 21 minutes. ​

Sagot :

Answer:

12 equal pipes are required to fill the tank in 21 minutes.

Step-by-step explanation:

nverse Variation:

If more number of equal pipes fill a tank, the faster the tank is filled.

If fewer number of equal pipes fill a tank, the slower the same tank is filled.

Inverse variation equation:

y = k/x

Where:

y = number of pipes

x = number of minutes

k = constant of variation

Solve for k:

14 = k/18

k = (14)(18)

k = 252

Solve for x, the number of pipes to fill the tank in y = 21 minutes:

21 = 252/x

x = 252/21

x = 12

hope its help

Answer:

12 equal pipes are required to fill the tank in 21 minutes.

Step-by-step explanation:

If more number of equal pipes fill a tank, the faster the tank is filled.

If fewer number of equal pipes fill a tank, the slower the same tank is filled.

Equation:

y = k/x

y = number of pipes

x = number of minutes

k = constant of variation

Solve for K:

14 = k/18

k = (14)(18)

k = 252

Solve for x, the number of pipes to fill the tank in y = 21 minutes:

21 = 252/x

x = 252/21

x = 12

ANSWER: 12 pipes