A bathtub is being filled with water. After 3 minutes, \(\frac{4}{5}\) of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?

\frac45\\x\ min\ ----->1\\x\ \cdot\ \frac45=1\cdot3\\\frac45x=3\ /\ : \frac45\\x=3\ :\ \frac45\\x=\frac31\ \cdot\ \frac54\\x=\frac{15}{4}\\x=3\frac34\ [min]\\x=3\ min\ 45\ sec"> 3 min − − − − − > 5 4 ​ x min − − − − − > 1 x ⋅ 5 4 ​ = 1 ⋅ 3 5 4 ​ x = 3 / : 5 4 ​ x = 3 : 5 4 ​ x = 1 3 ​ ⋅ 4 5 ​ x = 4 15 ​ x = 3 4 3 ​ [ min ] x = 3 min 45 sec
answer: 3 min 45 sec

Answered by vivindalka | 2024-06-10

3 min − 5 4 ​ x min − 1 3 = 5 4 ​ x / : 5 4 ​ 5 4 ​ 3 ​ = x x = 3 ⋅ 4 5 ​ = 4 15 ​ = 3 4 3 ​ min = 3 min 45 s

Answered by tomek1172 | 2024-06-10

After filling 5 4 ​ of the tub in 3 minutes, it will take an additional 45 seconds to fill the remaining 5 1 ​ of the tub. This is calculated based on the filling rate determined earlier. Thus, the total time needed to fill the tub is 3 minutes and 45 seconds for full capacity.
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Answered by vivindalka | 2025-06-16