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      Question

      A steamer covers 80 km in 5 hr. in still water. If the

      speed of the steamer in still water is 50% more than that of the stream, then time is required for the steamer to cover this distance upstream.
      A 12hours Correct Answer Incorrect Answer
      B 10hours Correct Answer Incorrect Answer
      C 15hours Correct Answer Incorrect Answer
      D 22hours Correct Answer Incorrect Answer

      Solution

      Speed of the steamer in still water = (80/5) =16 km/h Speed of the stream = (16/1.5) = (32/3) km/h Upstream speed of the boat = 16 โ€“ (32/3) = {(48 โ€“ 32)/3} = (16/3) km Required time taken = 80 รท (16/3) = 80 ร—3/16 = 15 hours

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