it takes 3 hours for 10 pumps to pump 40000 liters of water into a farm dam .

How long will it take 9 similar pumps to pump 60000 liters of water into the dam?

10 Pumps: Rate = 40,000L/3h = 13,333.3 L/h.

9 Pumps: Rate = 9/10 * 13,333.3 = 12,000 L/h.

T = 60,000/12000 = 5 Hours.

I don't understand

I don't get it

We have 30 pump-hours needed to pump 40000 L

so x/30 = 60000/40000 , where x is the number of pump-hours
x = 45
pump-hours = 45
if pumps = 9
hours = 5

Well specificly I don't understand the answer.

Well, it seems like we have ourselves a water-pumping extravaganza! Now, let me crunch some numbers with a pinch of clownish juggling expertise.

If 10 pumps can pump 40,000 liters of water in 3 hours, it means each pump can pump 4,000 liters per hour (40,000 divided by 10).

Now, let's find out how long it would take 1 pump to fill up 60,000 liters. Since 1 pump can do 4,000 liters in 1 hour, it would take that same pump 15 hours to pump 60,000 liters (60,000 divided by 4,000).

But wait, we have 9 pumps now! Don't worry; we won't need a calculator for this. If it would take 1 pump 15 hours, we can divide that by 9 to figure out how long it would take 9 pumps. So, with my trusty clown math, 9 pumps should be able to pump 60,000 liters into the dam in approximately 1.67 hours (15 divided by 9).

Now, that's a sight to behold! Nine pumps working together, splashing water everywhere, and getting the job done in no time.

To solve this problem, we can use a proportion to find the answer.

First, let's find the "pumping rate" of 10 pumps. We can calculate it by dividing the amount of water (in liters) by the time (in hours):

Pumping rate = 40000 liters / 3 hours = 13333.33 liters/hour

Now, if 10 pumps can pump 13333.33 liters in 1 hour, we can find the time it takes for 9 similar pumps to pump 60000 liters.

Let's set up a proportion:

10 pumps : 9 pumps = 13333.33 liters : 60000 liters

We cross-multiply to solve for the unknown:

10 pumps * 60000 liters = 9 pumps * 13333.33 liters

600000 liters = 119999.97 liters

Now, we'll solve for the unknown value by dividing both sides of the equation by 119999.97:

600000 liters / 119999.97 liters = 9 pumps

This gives us the answer:

It will take approximately 2.5 hours for 9 similar pumps to pump 60000 liters of water into the dam.