Một bể nuôi cá không có nước, khi mở vòi nước I; II; III thì bể đầy trong 72 giây. Khi mở vòi II; III; IV thì bể đầy trong 90 giây. Khi mở vòi I và vòi IV thì bể đầy trong 120 giây. Hỏi nếu mở 4 vòi cùng 1 lúc thì bể đầy trong bao lâu?

Phương pháp giải

- Tìm trong 1 giây, vòi I, II, III chảy được bao nhiêu phần bể - Tìm trong 1 giây, vòi II, III, IV chảy được bao nhiêu phần bể - Tìm trong 1 giây, vòi I, IV chảy được bao nhiêu phần bể - Tìm trong 1 giây bốn vòi chảy được bao nhiêu phần bể - Tìm số giây để 4 vòi chảy đầy bể

Lời giải của GV ufaindo.xyz

Trong 1 giây, vòi I, II, III chảy được $\frac{1}{{72}}$ bể Trong 1 giây, vòi II, III, IV chảy được $\frac{1}{{90}}$ bể Trong 1 giây, vòi I và IV chảy được $\frac{1}{{120}}$ bể Trong 1 giây, bốn vòi chảy được số phần bể là ($\left( {\frac{1}{{72}} + \frac{1}{{90}} + \frac{1}{{120}}} \right):2 = \frac{1}{{60}}$ (bể) Nếu mở 4 vòi cùng 1 lúc thì bể đầy sau số giây là $1:\frac{1}{{60}} = 60$ (giây) Đáp số: 60 giây

Báo lỗi - Góp ý

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