A hose p can fill tank in 12 minutes alone in 9 minutes along with the hose of q what is the time required by the hose q to fill the tank completely
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Hose P can fill the tank in 12 mins (Given)
Hose P and Q can fill the tank in 9 mins (Given)
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Solution:
Hose P can fill the tank in 12 mins
⇒ 1 min = 1/12 of the tank
Hose P and Q can fill the tank in 9 mins
⇒ 1 min = 1/9 of the tank
Find the work done by Hose Q in a min
1 min = 1/9 - 1/12 = 1/36
Find the number of mins for Hose Q to fill up the tank alone:
1/36 of the tank = 1 min
36/36 of the tank = 1 x 36 = 36 mins
Answer: Hose Q needs 36 mins to fill up the tank alone.
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