Một người đi xe máy từ tỉnh A đến tỉnh B. Nếu đi với vận tốc 30km/giờ thì sẽ đến sớm 1 giờ so với thời gian dự định. Nếu đi với vận tốc 20km/giờ thì đến muộn 1 giờ so với thời gian dự định. Hỏi quãng đường từ tỉnh A đến tỉnh B dài bao nhiêu ki-lô-mét?

Lời giải của GV ufaindo.xyz

Gọi V₁ là vận tốc 30km/giờ ; V₂ là vận tốc 20km/giờ

t₁ là thời gian đi với vận tốc 30km/giờ

t₂ là thời gian đi với vận tốc 20km/giờ

Trên cùng một quãng đường thì vận tốc và thời gian là hai đại lượng tỉ lệ nghịch. $\frac{{{V_1}}}{{{V_2}}} = \frac{{30}}{{20}} = \frac{3}{2} = \frac{{{t_2}}}{{{t_1}}}$ Khoảng thời gian khi đến sớm 1 giờ và đến 1 muộn 1 giờ là 2 giờ.

Nên t₂ – t₁ = 2

Thời gian người đó đi với vận tốc t₁ là

2 x 2 = 4 (giờ) Quãng đường AB dài là 30 x 4 = 120 (km) Đáp số: 120 km

Báo lỗi - Góp ý

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