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A water tank has two types of inlet pipe viz. Type A and type B. 5 inlet pipes of type A and 25 pipe of type B are opened, the tank is filled in 30 minutes. Whereas it takes 1 hour if 3 pipes of type A and 12 pipes of type B are opened. In how many minutes does empty tank is filled by 8 pipes of type A and 12 pipes of type B.

A water tank has two types of inlet pipe viz. Type A and type B. 5 inlet pipes of type A and 25 pipe of type B are opened, the tank is filled in 30 minutes. Whereas it takes 1 hour if 3 pipes of type A and 12 pipes of type B are opened. In how many minutes does empty tank is filled by 8 pipes of type A and 12 pipes of type B. Correct Answer 45 min

(5A + 25B) × 0.5 = 1 × (3A + 12B)

⇒ 2.5A + 12.5B = 3A + 12B

⇒ 0.5A = 0.5B

A = B

(3A + 12B) × 1 = T × (8A + 12B)

We know,

A = B

(3A + 12A) × 1 = T × (8A + 12A)

15A = T × 20A

T = (3/4) × 60 = 45 min

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