Fernandez Kelly
07/23/2024 · Junior High School
21. Water drains from a pool at a rate of 3 cm per minute. If the original depth of the water in the pool is 150 cm , how long will it take the water in the pool to be only 90 cm deep? (Lesson 8 -6)
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Step-by-step Solution
To find out how long it will take for the water in the pool to decrease from 150 cm to 90 cm, we first need to determine the total depth that the water will drain.
1. **Calculate the depth to be drained:**
\[
\text{Depth to be drained} = \text{Original depth} - \text{Final depth} = 150 \, \text{cm} - 90 \, \text{cm} = 60 \, \text{cm}
\]
2. **Determine the rate of drainage:**
The water drains at a rate of 3 cm per minute.
3. **Calculate the time required to drain 60 cm:**
\[
\text{Time} = \frac{\text{Depth to be drained}}{\text{Rate of drainage}} = \frac{60 \, \text{cm}}{3 \, \text{cm/min}} = 20 \, \text{minutes}
\]
Therefore, it will take **20 minutes** for the water in the pool to be only 90 cm deep.
Quick Answer
It will take 20 minutes for the water to drain from 150 cm to 90 cm.
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