A tank is filled in 4 hours by three pipes. A , B and . Pipes C is times as fast as B and B is 3 times as fast as A. How many hour will pipe A alone take to fill the tank ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 34.
Given:
The tank is filled in 4 hours by three pipes A, B, and C.
Pipe C is 3/2 times as fast as B and B is 3 times as far as A.
Concept Used:
The capacity of that tank = the rate of flow of pipe C × time taken by the pipe
Explanation:
According to the given question,
Rate of flow C = (3/2)B
Rate of flow of B = 3A
Let, pipe A fills the tank = 2Q unit per hour.
Pipe B fills the tank = 3A = 3 × 2Q = 6Q unit per hour
Pipe C fills the tank = (3/2)B = (3/2) × 6Q = 9Q unit per hours
Together they can fill = (2Q + 6Q + 9Q) = 17Q unit per hour
The capacity of that tank = 4 × 17 = 68Q unit per hour
Pipe A will take to fill that tank = 68Q/2Q = 34 hours