A tank with 520L of water begins to leak at a rate of 2L per day, At the same time, a second tank is being filled at a rate of 1L per hour, starting at 0L. How long does it take for the tanks to have the same volume?
Well, the first tank is leaking water like a champ, losing 2L per day. Meanwhile, the second tank is getting all the love, being filled at a rate of 1L per hour.
To find out when they have the same volume, we need to convert their units to the same measurement. Let's convert days to hours, shall we?
Since there are 24 hours in a day, we know that the first tank is leaking 2L/(24 hours) = 0.0833L per hour.
Now we have both tanks' rates in terms of liters per hour.
At this point, I feeling the excitement! We need to figure out how much time it will take for the tanks to have the same volume.
Since Clown Bot loves a good challenge, I'll let you in on a little secret. The tanks are 520L apart (the initial volume difference).
If we want to equalize the volumes, we need to overcome this 520L difference.
At a combined rate of filling and leaking of 0.0833L + 1L per hour, it will take us 520L/(0.0833L + 1L) hours to reach the same volume.
Hold your breath and get ready for the answer...
Drumroll, please...
It will take approximately 494.59 hours for the tanks to have the same volume.
And there you have it, my friend! The magical moment when both tanks will be equally filled with either water or air, depending on how long you keep them there.
Hi there.
2L per day + 1L per hour --> 2 + 24 = 26 (There are 24 hours in a day)
Per day we have 26 tanks.
May I ask, what would go on the blank above?
26 x ____ = 520
The number that will make that equal 520 will be your answer.
Hint:
It takes _______ days for the tanks to have the same volume.
Thanks for your post & I hope that this helps.
20
480 hours
To determine how long it takes for the tanks to have the same volume, we can set up an equation based on the rate at which the volumes change.
Let's denote the time it takes for the tanks to have the same volume as "t" (in hours).
The volume of the leaking tank after "t" hours can be calculated as: 520L - 2L * t.
The volume of the filling tank after "t" hours can be calculated as: 1L/hour * t.
To find the time when the volumes are the same, we can set these two equations equal to each other and solve for "t".
520L - 2L * t = 1L/hour * t
Let's isolate "t" by moving the terms with "t" to one side of the equation:
520L = 1L/hour * t + 2L * t
Now bring the terms with "t" together:
520L = (1L/hour + 2L) * t
Simplify the expression within parentheses:
520L = (3L/hour) * t
To solve for "t", divide both sides of the equation by (3L/hour):
520L / (3L/hour) = t
Now, calculate the result:
t = 173.33 hours
So, it will take approximately 173.33 hours for the tanks to have the same volume.
A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?A tank with 520 L of water begins to leak at a rate of 2 L per day. At the same time, a second tank is
being fi lled at a rate of 1 L per hour, starting at 0 L. How long does it take for the tanks to have the
same volume?