9 pipes are required to fill a tank in 4 hours. How long will it take if 12 pipes of the same type are used?Choices:-
Question
9 pipes are required to fill a tank in 4 hours. How long will it take if 12 pipes of the same type are used?Choices:-
Solution
The problem can be solved using the concept of direct and inverse proportion.
Step 1: Understand the problem The problem states that 9 pipes can fill a tank in 4 hours. We need to find out how long it will take to fill the same tank if 12 pipes are used instead.
Step 2: Set up the proportion The number of pipes and the time taken to fill the tank are inversely proportional. This means that if the number of pipes increases, the time taken to fill the tank decreases. We can set up the proportion as follows:
9 pipes / 4 hours = 12 pipes / x hours
Step 3: Solve for x Cross-multiply to solve for x:
9 pipes * x hours = 12 pipes * 4 hours
Step 4: Simplify Divide both sides by 9 pipes to solve for x:
x hours = (12 pipes * 4 hours) / 9 pipes
Step 5: Calculate x hours = 48 hours / 9 = 5.33 hours
So, it will take approximately 5.33 hours to fill the tank using 12 pipes.
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