Question

Three pipes A, B and C can fill a tank in
6 hours. After working at it together for 2
hours, C is closed and A and B can fill the
remaining part in 7 hours. The number of
hours taken by Calone to fill the tank is​

Answer 1

Step-by-step explanation:

Filled by A,BandC in a hour=1/6hours.

Filled byA,BandC in 2 hours=1/6multiply3=1/2hours

Now,remaining work=1/1-1/2=1/2

Work done by(A+B)in a hour=1/7hours

Time taken by A and B to complete the work in ahour=1/7multiply by 1/2=1/14

Time taken to do the work=14hours

Answer 2

Answer:

• C can fill the whole tank in 14 hours.

Step-by-step explanation:

• Part of the tank filled by (A + B + C) in 2 hours = 2 × 1/6 = 1/3

• Remaining part = 1 - 1/3 = 2/3

• ∴ 2/3rd of the tank is filled by (A + B) in 7 hours.

• ∴ The whole tank is filled by (A + B) in ( 7 × 3/2 ) hours = 21/2 hours.

• ∴ Part of the tank filled by C in 1 hour = Part of the tank filled by (A + B + C) in 1 hour - Part of the tank filled by (A + B) in 1 hour = 1/6 - 2/21 = 3/42 = 1/14

• ∴ C can fill the whole tank in 14 hours.