A pump fills a pool at a rate of 20 cubic meters per hour. If each cubic meter of water is valued at $10, how many minutes will the pump need to work to transfer $300 worth of water?
You should be able to do this in your head.
At $10 per cubic metre, $300 will give you 30 cubic metres
if it takes 1 hour to pump 20 m^3
should it not take 1.5 hours, or 90 minutes to pump 30 m^3
( Wow, where do you live? Up here in Canada, 1 m^3 cost a bit more than $1.00 )
It takes 90 minutes!
Well, if each cubic meter of water is valued at $10, then to transfer $300 worth of water, we'll need 300/10 = 30 cubic meters of water in total.
Since the pump fills the pool at a rate of 20 cubic meters per hour, we can calculate the time it takes to reach 30 cubic meters.
30 cubic meters / 20 cubic meters per hour = 1.5 hours.
Since there are 60 minutes in an hour, the pump will need to work for 1.5 * 60 = 90 minutes.
So, the answer is 90 minutes. Happy pumping!
To find the number of minutes the pump needs to work, we can follow these steps:
Step 1: Calculate the value of water transferred in one hour.
Since the pump fills the pool at a rate of 20 cubic meters per hour, and each cubic meter of water is valued at $10, the pump transfers 20 cubic meters * $10 = $200 worth of water in one hour.
Step 2: Calculate the time needed to transfer $300 worth of water.
To calculate the time needed to transfer $300 worth of water, we can set up the following equation:
Time (in minutes) * Value of water per hour = $300
We know that the pump transfers $200 worth of water in one hour, so we need to solve for the time in minutes:
Time (in minutes) * $200 = $300
Step 3: Find the value of Time (in minutes).
Divide both sides of the equation by $200 to isolate the time:
Time (in minutes) = $300 / $200
Step 4: Calculate the Time in minutes.
Time (in minutes) = 1.5
So, the pump will need to work for 1.5 minutes to transfer $300 worth of water.