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Two jetties A and B are 90 km apart on a river flowing from A to B at 3 km/h. Boat P (12 km/h in still water) leaves A and boat Q (18 km/h in still water) leaves B at the same time, heading towards each other. After how long do they meet?

Competition practiceBoats & Streams
  • A2 hours
  • B3 hours
  • C2.5 hours
  • D3.6 hours

Step-by-Step Solution

P goes downstream at 15 km/h, Q upstream at 15 km/h. Closing speed = 30 km/h, time = h. The stream adds to one and subtracts from the other, so it cancels out.
Answer: B) 3 hours

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