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How quickly can the faster pipe fill a pool compared to the slower pipe?

1.5 times faster

2 times faster

1.25 times faster

To determine how quickly the faster pipe can fill a pool compared to the slower pipe, we need to examine the rates at which each pipe fills the pool. If we define the rate at which the slower pipe fills the pool as one unit of time, then we look at the faster pipe’s rate, which is a multiple of the slower pipe's rate. The key concept here is the relationship between the two pipes' filling times. When we say one pipe is 1.25 times faster than another, it means that if the slower pipe takes a certain amount of time to fill the pool, the faster pipe takes only 80% of that time to fill the same pool. For example, if the slower pipe fills the pool in 10 hours, then the faster pipe would fill it in 8 hours. This makes the faster pipe indeed 1.25 times faster than the slower pipe because: 1.25 = 10 hours / 8 hours This clear relationship shows that the faster pipe can fill the pool in a shorter duration compared to the slower pipe, accurately reflecting a rate increase of 25%. Understanding this concept allows you to contextualize and reason through the relationship between the two pipes, leading to the conclusion

3 times faster

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