Có ba vòi nước chảy vào một cái bể cạn. Nếu vòi A và vòi B cùng chảy thì bể đầy sau 1 giờ 12 phút; nếu vòi B và vòi C cùng chảy thì bể đầy sau 2 giờ; nếu vòi C và vòi A cùng chảy thì bể đầy sau 1 giờ 30 phút. Hỏi vòi C chảy riêng thì bể đầy sau bao lâu?

Phương pháp giải

- Tìm trong 1 giờ cả 3 vòi chảy được bao nhiêu phần bể - Tìm trong 1 giờ vòi C chảy được bao nhiêu phần bể - Tìm số giờ để vòi C chảy đầy bể

Lời giải của GV ufaindo.xyz

Đổi 1 giờ 12 phút = $\frac{6}{5}$ giờ 1 giờ 30 phút = $\frac{3}{2}$ giờ Trong 1 giờ, vòi A và B chảy được $1:\frac{6}{5} = \frac{5}{6}$ bể Trong 1 giờ, vòi B và C chảy được $\frac{1}{2}$ bể Trong 1 giờ, vòi C và A chảy được $1:\frac{3}{2} = \frac{2}{3}$ bể Trong 1 giờ cả 3 vòi chảy được: $\left( {\frac{5}{6} + \frac{1}{2} + \frac{2}{3}} \right):2 = 1$ (bể) Trong 1 giờ vòi C chảy được số phần bể là $1 - \frac{5}{6} = \frac{1}{6}$ (bể) Vòi C chảy riêng thì bể đầy sau số giờ là $1:\frac{1}{6} = 6$ (giờ) Đáp số: 6 giờ

Báo lỗi - Góp ý

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