If a pipe can fill a tank in 2 hours and another pipe can fill the same tank in 40 minutes.how much time in minutes is needed to fill the tank if both the pipe are working together?
1 Answer
Both pipes will fill the tank in 30 minutes.
Explanation:
Let's do the setup first:
1) The tank has a capacity of X (The unit doesn't matter here)
2) The rate that each pipe fills the tank is
Now, we know that the first pipe fills the tank in 2 hours. That means that the tank's capacity divided by the fill rate of the first pipe is equal to 2 hours (since we need the answer in minutes I'll use minutes here, so 120 minutes):
The rate of the second pipe gives us:
Solving both for X:
If we set the Xs equal to each other we get:
Now for the equation we have to solve. We need to know how much time (T)
So we know that
Both