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Question

A diver rowing at the speed of 3 km/h in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the diver downstream is:

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

4 km/h

The correct answer is Option 3 i.e. 4 km/h.

Let the speed of the stream be x km/h

Downstream speed = 3 + x

Upstream speed = 3 - x

Time taken upstream is double the time taken downstream

⇒ 50/(3 - x) = 2 × 50/(3 + x)

⇒ 1/(3 - x) = 2 × 1/(3 + x)

⇒ (3 + x) = 2(3 - x)

⇒ 3 + x = 6 - 2x

⇒ 3x = 3

⇒ x = 1

Downstream speed = 3 + x = 3 + 1 = 4 km/hr

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Similar Questions

  1. Adriver rowing at the speed of 3 km/hr in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the diver against the stream is:

  2. A boat running downstream covers a distance of 18 km in 3 hours while it covers the same distance upstream in 9 hours. The speed of the boat in still water is:
  3. A speedboat, whose speed is 16 km/hr in still water, travels 40 km downstream and returns in a total of 6 hours 24 minutes. What is the speed of the stream (in km/hr)?

Important Questions from Boat and River

  1. A boat sails 15 km of a river towards upstream in 5 hours. How long (in hours) will it take to cover the same distance downstream, if the speed of river is one-fourth the speed of the boat in still water?

  2. The speed of boat upstream is 5 kmph. Its speed in still water is 10 kmph. How many minutes will it take to row 25 km downstream?

  3. Sudha can travel a certain distance downstream in 6 hours by boat and return to the starting point in 9 hours. If the stream flows at a speed of 3 km/h, how long (in hours) will it take to cover a distance of 67.5 km in still water?

  4. A man covered a distance of 18 km in 3 hours, 7.2 km in 2 hours and 15 km in 5 hours. What is the average distance traveled by him per hour?

  5. A boat covers 20 km upstream and 60 km downstream in 5 hours. Boat covers 30 km upstream and 80 km downstream in 7 hours. What is the speed of boat in still water?

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