Một người đi xe máy từ A đến B với vận tốc 30 km/giờ. Lúc về sau khi đi được $\frac{1}{3}$ quãng đường với vận tốc cũ, người đó dừng lại chữa xe trong 40 phút. Do đó muốn thời gian về bằng thời gian đi, xe máy đã đi với vận tốc 36 km/h. Tính quãng đường AB.

Lời giải của GV ufaindo.xyz

Gọi V₁ là vận tốc 30km/giờ ; V₂ là vận tốc 36km/giờ

t₁💝 là thời gian đi $\frac{2}{3}$ quãng đường với vận tốc 30km/giờ

t₂൲ là thời gian đi $\frac{2}{3}$ quãng đường với vận tốc 36km/giờ

Trên cùng một quãng đường thì vận tốc và thời gian là hai đại lượng tỉ lệ nghịch. $\frac{{{V_1}}}{{{V_2}}} = \frac{{30}}{{36}} = \frac{5}{6} = \frac{{{t_2}}}{{{t_1}}}$

Thời gian đi với vận tốc 36km/giờ là 40 x 5 = 200 (phút) = $\frac{{10}}{3}$ (giờ) Quãng đường người đó đi với vận tốc 36km/giờ là $36 \times \frac{{10}}{3} = 120$ (km) Độ dài quãng đường AB là 120 : $\frac{2}{3}$ = 180 (km) Đáp số: 180 km

Báo lỗi - Góp ý

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