Lúc 6 giờ 30 phút sáng một người đi xe đạp từ nhà lên huyện với vận tốc 14km/giờ. Đến huyện, người ấy vào chợ mua hàng trong 2 giờ, sau đó lại đạp xe về nhà. Do ngược gió, lúc về chỉ đi được 10km/giờ nên thời gian lúc về lâu hơn lúc đi nửa giờ. a) Tính quãng đường từ nhà lên huyện b) Người ấy đã về đến nhà lúc mấy giờ?

Lời giải của GV ufaindo.xyz

a) Gọi V₁ là vận tốc 14km/giờ ; V₂ là vận tốc 10km/giờ

t₁ là thời gian đi với vận tốc 14km/giờ

t₂ là thời gian đi với vận tốc 10km/giờ

Trên cùng một quãng đường thì vận tốc và thời gian là hai đại lượng tỉ lệ nghịch. $\frac{{{V_1}}}{{{V_2}}} = \frac{{14}}{{10}} = \frac{7}{5} = \frac{{{t_2}}}{{{t_1}}}$

Ta có t₂ – t₁ = 30

Thời gian lúc về của người đó là 30 : (7 – 5) x 7 = 105 (phút) = 1,75 giờ Quãng đường từ nhà lên huyện là 10 x 1,75 = 17,5 (km) b) Thời gian lúc đi của người đó là 105 phút – 30 phút = 75 (phút) = 1 giờ 15 phút Người đó về đến nhà lúc: 6 giờ 30 phút + 1 giờ 15 phút + 2 giờ + 1 giờ 45 phút = 11 giờ 30 phút Đáp số: a) 17,5 km b) 11 giờ 30 phút

Báo lỗi - Góp ý

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