SOLUTION: A container with full capacity of 1l of water started leaking at a rate of 5 ml per second. At this rate, what fraction of the tank will still be filled with water after 2 minutes?

Question 1206989: A container with full capacity of 1l of water started leaking at a rate of 5 ml per second. At this rate, what fraction of the tank will still be filled with water after 2 minutes? Give your answer in the simplest form.
(1) 2/5
(2) 3/10
(3) 2/3
(4) 3/5
Found 4 solutions by math_tutor2020, ikleyn, josgarithmetic, MathLover1:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Answer: 2/5

Explanation

The "1 l" looks a lot like two lowercase L's put together.
Perhaps your teacher should have written it as "1 L" or "one liter".

x = number of seconds that elapse
y = amount of water, in mL, in the tank

The equation is
y = -5x+1000

This is because the equation is of y = mx+b form
m = -5 = slope = how much water in mL leaks per second
b = 1000 = starting number of mL of water
1000 mL = 1 liter

If we plugged x = 0 into y = -5x+1000, then we'd get y = 1000.

Plug x = 120 into the equation to find that y = -5*(120)+1000 = 400

At the 2 minute marker, aka 120 seconds, 400 mL of water remains.
400/1000 = 2/5 of the tank is full by this point.

------------------------------

Another approach

1 liter = 1000 mL
1 mL = 1/1000 = 0.001 liter
1 mL = 0.001 liter
5*1 mL = 5*0.001 liter
5 mL = 0.005 liter

The tank is losing 0.005 liters of water per second.
After 120 seconds (aka 2 minutes), the tank lost 120*0.005 = 0.6 liters of water.
The amount remaining is 1 liter - 0.6 liters = 0.4 liters
Divide this over the tank's capacity of 1 liter to get 0.4, note the "liters" units cancel when dividing.

Then convert that to a fraction
0.4 = 4/10 = 2/5

Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
.

The fraction of water that left in the tank, is = = . ANSWER In this formula, 1000 is 1000 mL, which represents one liter. 120 represents 120 seconds, or 2 minutes.

Solved.

////////////////

The correct abbreviation for milliliter is "mL," with a lowercase "m" and an uppercase "L."

The common abbreviation for liter is L.

Writing "1l", as in your post, is confusing and demonstrates ignorance of the standard format and disrespect to readers.

Answer by josgarithmetic(39629)   (Show Source): You can put this solution on YOUR website!
1000 ml. filled at the start
Leak 5 ml. per second for 2 minutes;
or leak 5 ml. per second for 120 seconds.

ml. still in the container.

The fraction remaining compared to at the start:

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

of water started leaking at
a rate of

in will leak of water

fraction of the tank will still be filled with water after minutes will be

answer:
(1)

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