Một chiến sĩ đi từ điểm A đến điểm B rồi trở về hết 3 giờ 41 phút. Quãng đường từ A đến B gồm một đoạn xuống dốc, một đoạn nằm ngang và một đoạn lên dốc. Hỏi đoạn nằm ngang dài bao nhiêu ki-lô-mét, biết vận tốc đi lên dốc là 4km/giờ, vận tốc khi xuống dốc là 6 km/giờ, vận tốc trên đường nằm ngang là 5 km/giờ và quãng đường AB dài 9km?

Lời giải của GV ufaindo.xyz

Tổng quãng đường lên dốc và xuống dốc lúc đi và lúc về bằng nhau, vậy thời gian đi và về 1 km đường dốc là: 60 : 4 + 60 : 6 = 25 (phút) Thời gian đi và về 1 km đường nằm ngang là 60 : 5 x 2 = 24 (phút) Giả sử cả quãng đường AB đều là đường dốc thì thời gian cả đi và về quãng đường đó là: 25 x 9 = 225 (phút) 225 phút = 3 giờ 45 phút So với thời gian đi và về cả quãng đường AB đã tăng lên: 3 giờ 45 phút – 3 giờ 41 phút = 4 (phút) Đi và về 1 km đường dốc mất nhiều thời gian hơn đi và về 1 km đường nằm ngang là 25 phút – 24 phút = 1 (phút) Tăng lên 4 phút so với thời gian quy định là do đã đi quãng đường nằm ngang Vậy quãng đường nằm ngang dài: 4 : 1 = 4 (km) Đáp số: 4 km

Báo lỗi - Góp ý

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