Question

there are 16 pipes that are connected to a tank some of them used to fill the tank and others to drain each of the pipes fill a tank in 12 hrs and each of the drain pipe tank completely in 8 hour if all pipes are kept open an empty tank gets filled in 12 hours how many of these pipes are use to fill a tank

Answer 1

Step-by-step explanation:

let there be n pipes fill the tank than (12-n) pipes drain the tank

in an hour n pipes can fill =n/8

[3n-4(12-n)]24=1/24

[3n+4-48)/24=1/24

7n-48=1

n=7

Answer 2

Answer:

10 Pipes are used to fill the tanks.

Step-by-step explanation:

Total number of pipes= 16

Let no. of fill pipes= x

∴ Number of drain pipes= 16 -x

Time taken by 1 fill pipe to fill the tank= 12 hrs.

Work done by 1 fill pipe in 1 hr. = 1/12

Work done by x fill pipes= x×(1/12)= x/12

Time taken by 1 drain pipe to drain the tank= 8 hrs.

Work done by 1 drain pipe in 1 hr.= 1/8

Work done by (16 -x) pipes to drain the tank =(16-x)×(1/8)=(16-x)/8

Total time taken to fill the tank= 12 hrs.

Part of tank filled in 1 hr.=1/12

∴ (x/12) - (16- x)/8 = 1/12

{2x- 3(16 -x)}/24=1/12

(2x-48 +3x)/24 =1/12

(5x- 48) /24 =1/12

12(5x-48) =24

60x-576=24

60x=24+576

60x=600

x=600/60

x=10