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Quantity B: Speed of stream is 6 km/hr. It takes thrice as long to row up a distance as to row down the same distance. Find the speed of boat in still water.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B |
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Answer» Quantity A: LET the speed of stream be a km/hr. Speed of boat in still water = 5 km/hr Speed downstream = (a + 5)km/hr Speed UPSTREAM = (5 – a)km/hr (a + 5) × 2 = (5 – a) × 5/2 4a + 20 = 25 – 5a 9a = 5 a = 5/9 Speed of stream is 5/9 km/hr. Quantity B: Let speed of boat in still water be x km/hr. Speed of stream = 6 km/hr Time taken to row down and to row up are in the ratio of 3 : 1. Then speeds are in the ratio of 1 : 3. Then, (x + 6)/3 = (x – 6)/1 x + 6 = 3X – 18 2x = 24 x = 12 Speed of boat in still water is 12 km/hr. From above solution, Relation between Quantity A < Quantity B is established. |
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