Problem 1: 12 tapes are fitted in a tank, some are inlet water taps and rest are outlet tapes each water tap can fill the tank in6 hours and outlet can empty the tank in 12 hours. lf all tapes are open together then the tank is full in 4 hours. find the number of inlet water taps?

Solution:

Total number of tapes are=12

Let number of inlet taps=X

The number of out let taps =12-X

A———->6 +2

L.C.M12

B———->12 -1

X*2*4 + (12-X)*(-1)*4=12

8X-48+4X = 12

12X = 60

X=5

The the inlet water tapes are 5 and outlet taps are 7

Problem 2:8 taps are fitted in a tank, some are inlet water taps and rest are outlet tapes each water tap can fill the tank in 12 hours and outlet can empty the tank in 36 hours. lf all tapes are open together then the tank is full in 3 hours. find the number of inlet water taps?

Solution:

Total number of tapes are=8

Let number of inlet taps=X

The number of out let taps =8-X

A———->12 +3

L.C.M 36

B———->36 -1

X*3*43 + (8-X)*(-1)*3=36

9X-24+3X=36

12X = 60

X=5

The the inlet water tapes are 5 and outlet taps are 3