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Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
- a)9 min
- b)8 min
- c)6 min
- d)4 min
Correct answer is option 'B'. Can you explain this answer?
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Two pipes A and B can fill a tank in 12 and 24 minutes respectively. I...
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Two pipes A and B can fill a tank in 12 and 24 minutes respectively. I...
Solution:
Let us assume that the capacity of the tank is 'x' liters.
Given, pipe A can fill the tank in 12 minutes.
Therefore, the rate of filling of pipe A = x/12 liters per minute.
Similarly, pipe B can fill the tank in 24 minutes.
Therefore, the rate of filling of pipe B = x/24 liters per minute.
When both pipes are used together, the rate of filling of the tank = rate of filling of pipe A + rate of filling of pipe B.
= x/12 + x/24
= (2x + x)/24
= 3x/24
= x/8 liters per minute.
Hence, the time taken to fill the tank when both pipes are used together = Capacity of the tank / Rate of filling of both pipes.
= x / (x/8)
= 8 minutes.
Therefore, the correct option is (B) 8 min.
Let us assume that the capacity of the tank is 'x' liters.
Given, pipe A can fill the tank in 12 minutes.
Therefore, the rate of filling of pipe A = x/12 liters per minute.
Similarly, pipe B can fill the tank in 24 minutes.
Therefore, the rate of filling of pipe B = x/24 liters per minute.
When both pipes are used together, the rate of filling of the tank = rate of filling of pipe A + rate of filling of pipe B.
= x/12 + x/24
= (2x + x)/24
= 3x/24
= x/8 liters per minute.
Hence, the time taken to fill the tank when both pipes are used together = Capacity of the tank / Rate of filling of both pipes.
= x / (x/8)
= 8 minutes.
Therefore, the correct option is (B) 8 min.
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Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?a)9 minb)8 minc)6 mind)4 minCorrect answer is option 'B'. Can you explain this answer?
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