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A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h

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Question: A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Options:

  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Correct Answer: 10 km/h

Solution: 

Speed upstream = Distance/Time = 40 km / 4 h = 10 km/h. Speed of boat in still water = Speed upstream + Speed of current = 10 km/h + 2 km/h = 12 km/h.

A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h

Practice Questions

Q1
A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Questions & Step-by-Step Solutions

A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
  • Step 1: Identify the distance the boat travels upstream, which is 40 km.
  • Step 2: Identify the time it takes to travel that distance, which is 4 hours.
  • Step 3: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time.
  • Step 4: Plug in the values: Speed upstream = 40 km / 4 h = 10 km/h.
  • Step 5: Identify the speed of the current, which is given as 2 km/h.
  • Step 6: To find the speed of the boat in still water, add the speed of the current to the speed upstream: Speed of boat in still water = Speed upstream + Speed of current.
  • Step 7: Plug in the values: Speed of boat in still water = 10 km/h + 2 km/h = 12 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when moving upstream or downstream.
  • Distance, Speed, and Time Relationship – Applying the formula Distance = Speed × Time to calculate speed and distance in different scenarios.
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