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A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still

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Question: A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?

Options:

  1. 5 km/h
  2. 6 km/h
  3. 7 km/h
  4. 8 km/h

Correct Answer: 6 km/h

Solution:

Speed upstream = Distance / Time = 30 km / 6 hours = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 3 km/h = 8 km/h.

A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still

Practice Questions

Q1
A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?
  1. 5 km/h
  2. 6 km/h
  3. 7 km/h
  4. 8 km/h

Questions & Step-by-Step Solutions

A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?
  • Step 1: Identify the distance traveled upstream, which is 30 km.
  • Step 2: Identify the time taken to travel upstream, which is 6 hours.
  • Step 3: Calculate the speed upstream using the formula: Speed = Distance / Time.
  • Step 4: Substitute the values: Speed upstream = 30 km / 6 hours.
  • Step 5: Perform the calculation: 30 km / 6 hours = 5 km/h.
  • Step 6: Identify the speed of the current, which is 3 km/h.
  • Step 7: Calculate the speed of the boat in still water using the formula: Speed of boat in still water = Speed upstream + Speed of current.
  • Step 8: Substitute the values: Speed of boat in still water = 5 km/h + 3 km/h.
  • Step 9: Perform the calculation: 5 km/h + 3 km/h = 8 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when moving upstream or downstream.
  • Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
  • Addition of Speeds – Adding the speed of the current to the speed of the boat to find the speed in still water.
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