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a steamer goes downstream from one …

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a steamer goes downstream from one point to another in 6 hours it covers the same distance upstream in 7 hours if the speed of the stream is 2 kilometre per hour find the speed of the steamer in still water

    • Posted by Gita Panasakarla 4 years, 10 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Revanth Reddy K 4 years, 10 months ago

    Answer: 30 km/hr, 224 km Step-by-step explanation: Let the speed of the steamer in still water = x km/hr. Given,Speed of stream = 2 km/hr. Downstream Speed = (x + 2) km/hr. Upstream Speed = (x - 2) km/hr. Given, distance covered in 7 hours while downstream = 7(x + 2). Given, distance covered in 8 hours while upstream = 8(x - 2). Now, ⇒ 7(x + 2) = 8(x - 2) ⇒ 7x + 14 = 8x - 16 ⇒ 7x - 8x = -16 - 14 ⇒ -x = -30 ⇒ x = 30. Now, ∴ Distance between the ports = 7(x + 2) km = 7(30 + 2) = 7(32) = 224 km. Therefore: Speed of the steamer in still water = 30 km/hr. Distance between the ports = 224 km

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