Pipe X and Y can fill a tank in 10 minutes and 20 minutes respectively. If both the pipes are opened simultaneously, then the time taken to fill the tank is how much?6.66 minutes7.2 minutes8 minutes5 minutesNone
Question
Pipe X and Y can fill a tank in 10 minutes and 20 minutes respectively. If both the pipes are opened simultaneously, then the time taken to fill the tank is how much?6.66 minutes7.2 minutes8 minutes5 minutesNone
Solution 1
To solve this problem, we first need to find out how much of the tank each pipe can fill in one minute.
Pipe X can fill the tank in 10 minutes, so in one minute it can fill 1/10 of the tank. Pipe Y can fill the tank in 20 minutes, so in one minute it can fill 1/20 of the tank.
If both pipes are opened simultaneously, in one minute they can fill 1/10 + 1/20 = 3/20 of the tank.
Therefore, to fill the entire tank, it would take 20/3 minutes, which is approximately 6.66 minutes. So, the correct answer is 6.66 minutes.
Solution 2
To solve this problem, we first need to find out how much of the tank each pipe can fill in one minute.
Pipe X can fill the tank in 10 minutes, so in one minute it can fill 1/10 of the tank. Pipe Y can fill the tank in 20 minutes, so in one minute it can fill 1/20 of the tank.
If both pipes are opened simultaneously, in one minute they can fill 1/10 + 1/20 = 3/20 of the tank.
Therefore, to fill the whole tank, it would take 20/3 minutes, which is approximately 6.66 minutes. So, the correct answer is 6.66 minutes.
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