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Question

The speed of a boat in still water is 9 km/hr and the speed of stream is 3 km/hr. The difference between the upstream speed and downstream speed will be:

The correct answer is

6 km/hr

Boat Speed Calculation: Upstream vs Downstream Difference

Understanding the difference between upstream and downstream speeds is crucial for boat-related calculations. This problem involves finding the difference between these two speeds.

Given Information

  • Speed of boat in still water (Sb) = 9 km/hr
  • Speed of stream (Ss) = 3 km/hr

Calculating Upstream and Downstream Speeds

Upstream Speed (Sup) is the speed when the boat moves against the stream. The formula is:
Sup = Sb - Ss
Sup = 9 km/hr - 3 km/hr = 6 km/hr

Downstream Speed (Sds) is the speed when the boat moves with the stream. The formula is:
Sds = Sb + Ss
Sds = 9 km/hr + 3 km/hr = 12 km/hr

Finding the Speed Difference

The question asks for the difference between the upstream speed and the downstream speed. This is calculated as:

Difference = Sds - Sup

Difference = 12 km/hr - 6 km/hr

Difference = 6 km/hr

Conclusion

The difference between the upstream speed and the downstream speed is 6 km/hr.

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Important Questions from Boat and River

  1. The speed of a ship in still water is 5 km/hr and the speed of the stream is 2 km/hr. Rohan rows to place at a distance of 21 km and comes back to the starting point. The total time taken by him is:

  2. A boat can go 10 km upstream and 11 km downstream in a total time of 52 minutes, If the speed of the stream is 5 km/h, then what is the speed (in km/h) of the boat when going downstream?

  3. A person can row 88 km downstream in 11 h, and 72 km upstream in 12 h. What is the speed of the current?

  4. The upstream speed of the boat is 40 km/hr and the speed of the boat in still water is 55 km/hr. What is the downstream speed of the boat?

    A. 75 km/hr

    B. 70 km/hr

    C. 60 km/hr

    D. 65 km/hr
  5. A boat moving upstream takes 8 hours 48 minutes to cover a distance while it takes 4 hours to return to the starting point, downstream. What is the ratio of the speed of boat in still water to that of water current?

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