Subject
Quantitative Aptitude
Topic
Time and Work
There is a water tank with a capacity of 1200 litres and 10 pipes are attached to it. Some of these pipes fill the tank while others empty the tank. Each pipe can fill or empty the tank at the rate of 10 litres per minute. When all pipes are opened, a half filled tank gets completely filled in 30 minutes. How many pipes are there those empty the tank?
There is a water tank with a capacity of 1200 litres and 10 pipes are attached to it. Some of these pipes fill the tank while others empty the tank. Each pipe can fill or empty the tank at the rate of 10 litres per minute. When all pipes are opened, a half filled tank gets completely filled in 30 minutes. How many pipes are there those empty the tank?
ক)
2খ)
3গ)
4ঘ)
8ঙ)
Cannot be determinedExplanation
Out of 10 pipes, let us suppose that T pipes empty the tank. ⇒ (10 - T) pipes fill the tank Rate of filling or emptying by a pipe = 10 liters per minute Capacity of tank = 1200 liters Half filled tank gets completely filled in 30 minutes. ⇒ Water filled by (10 – T) pipes in 30 minutes - Water emptied by (10 – T) pipes in 30 minutes = 1200/2 ⇒ (10 - T) × 10 × 30 – T × 10 × 30 = 600 ⇒ (10 – 2T) × 300 = 600 ⇒ 10 – 2T = 2 ⇒ 2T = 8 ⇒ T = 4 ∴ 4 pipes are there those empty the tank.Related questions
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