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A police boat (16 km/h in still water) heads upstream and a ferry (12 km/h in still water) heads downstream, both leaving the same jetty at noon. The river flows at 3 km/h. When will they be 70 km apart?

Competition practiceBoats & Streams
  • A2:30 p.m.
  • B2:00 p.m.
  • C3:00 p.m.
  • D2:20 p.m.

Step-by-Step Solution

They separate at 13 + 15 = 28 km/h (the current cancels: 16 + 12). 70 ÷ 28 = 2.5 h after noon, i.e. 2:30 p.m.
Answer: A) 2:30 p.m.

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