Water is dripping into a jar at a constant rate. There were 100 milliliters of water in the jar 2 hours ago, and there are 160 milliliters of water in the jar now. At this rate, how many hours from now will there first be 250 milliliters of water in the jar?
First, we need to determine how much the water level in the jar increases per hour.
In the 2 hours since there were 100 milliliters of water in the jar, the level has increased by 60 milliliters (160 ml - 100 ml).
Therefore, the rate of increase is 60 milliliters per 2 hours, or 30 milliliters per hour.
To find out how many hours it will take for there to be 250 milliliters of water in the jar, we can set up the equation:
100 ml + 30 ml/hour x hours = 250 ml
30 ml/hour x hours = 150 ml
hours = 150 ml / 30 ml/hour
hours = 5
Therefore, it will take 5 hours for there to be 250 milliliters of water in the jar.
To solve this problem, we can use a basic formula for solving rate problems:
Rate = Amount / Time
Let's start by calculating the rate at which the water is dripping into the jar. We know that 100 milliliters of water were in the jar 2 hours ago, and now there are 160 milliliters of water. So, the amount of water that has been added to the jar in the last 2 hours is:
160 ml - 100 ml = 60 ml
To find the rate, we divide the amount of water by the time:
Rate = 60 ml / 2 hours = 30 ml/hour
Now, we can determine how long it will take for the jar to have 250 milliliters of water. Let's use the same formula:
Rate = Amount / Time
Knowing that the rate is 30 ml/hour and the desired amount is 250 milliliters, we rearrange the formula to solve for time:
Time = Amount / Rate
Time = 250 ml / 30 ml/hour
Time ≈ 8.33 hours
Therefore, it will take approximately 8.33 hours for there to be 250 milliliters of water in the jar.