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?
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?
Solution
Step 1: Find the rate at which each pipe can fill the tank.
Pipe X can fill the tank in 10 minutes, so its rate is 1 tank/10 minutes = 0.1 tanks per minute.
Pipe Y can fill the tank in 20 minutes, so its rate is 1 tank/20 minutes = 0.05 tanks per minute.
Step 2: Add the rates together to find the combined rate.
0.1 tanks per minute + 0.05 tanks per minute = 0.15 tanks per minute.
Step 3: Find the time it takes for the tank to be filled at the combined rate.
1 tank / 0.15 tanks per minute = approximately 6.67 minutes.
So, if both pipes are opened simultaneously, the tank will be filled in approximately 6.67 minutes.
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