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A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 k

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Question: A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 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 = 80 / 10 = 8 km/h. Speed in still water = Speed upstream + Speed of current = 8 + 4 = 12 km/h.

A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 k

Practice Questions

Q1
A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 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 can travel 80 km upstream in 10 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
  • Step 1: Understand that the boat travels upstream against the current.
  • Step 2: Calculate the speed of the boat while going upstream. The formula is: Speed = Distance / Time.
  • Step 3: Plug in the values: Distance = 80 km and Time = 10 hours. So, Speed upstream = 80 km / 10 hours = 8 km/h.
  • Step 4: Know that the speed of the current is given as 4 km/h.
  • Step 5: To find the speed of the boat in still water, add the speed of the current to the speed upstream. So, Speed in still water = Speed upstream + Speed of current.
  • Step 6: Calculate: Speed in still water = 8 km/h + 4 km/h = 12 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream or downstream.
  • Speed Calculation – Calculating speed using distance and time, and applying it to find the speed in still water.
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