Solve Math Problem: Time to Fill 425L Tank with Pipes

In summary, a tank with a capacity of 425 litres was filled using two pipes. The first pipe was opened for 5 hours longer than the second pipe. If the first pipe were to open for the same amount of time as the second pipe, the first pipe would deliver half the amount of water as the second pipe. If both pipes were opened simultaneously, the tank would be filled in 17 hours. The question is asking for how long the second pipe was open.
  • #1
sumitsawai
1
0
A tank of 425 litres capacity has been filled using two pipes, the first pipe having been opened 5 hrs longer than the
second.If the first pipe were to
open as long as the second and the second pipe was open as long as the first then the the first pipe would deliver half the
amount of water delivered by
the second pipe;if the two pipes were opened simultaneously,the tank would be filled up in 17 hours.How long was the second
pipe open?
a)10 hrs
b)12 hrs
c)15 hrs
d)18 hrs
 
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  • #2
hi sumitsawai! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3


Thats general algebra. Try to change the problem into values maybe helpful - that's what I do.
 

What are the steps to solve this math problem?

To solve this math problem, you will need to follow these steps:1. Determine the rate at which the pipes can fill the tank (in liters per hour).2. Calculate the total volume of the tank (425 liters).3. Divide the total volume by the rate to find the time it takes to fill the tank (in hours).4. Convert the time to fill the tank into minutes or seconds if needed.

How do I determine the rate at which the pipes can fill the tank?

To determine the rate at which the pipes can fill the tank, you will need to know the flow rate of each pipe. This can be found by dividing the amount of water the pipe can carry in one hour by the time it takes to fill the tank (in hours). The total flow rate will be the sum of all the individual pipe flow rates.

What is the formula for calculating the total volume of the tank?

The formula for calculating the total volume of the tank is V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height. In this case, the tank has a volume of 425 liters, so you will need to determine the length, width, and height of the tank.

Can I use any units of measurement to solve this problem?

Yes, you can use any units of measurement as long as they are consistent. For example, if the flow rate of the pipes is given in liters per hour, the total volume of the tank should also be in liters.

Is there a quicker way to solve this problem?

Yes, there is a quicker way to solve this problem using the concept of proportions. You can set up a proportion with the known values and the unknown value (time). Then, cross-multiply and solve for the unknown value. This method can save time and is especially useful when dealing with more complex math problems.

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