A boat can go 24 km upstream in 3 hours. If the speed of the current is 4 km/h,

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Question: A boat can go 24 km upstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 12 km/h

Solution:

Speed upstream = Distance/Time = 24 km / 3 h = 8 km/h. Speed of boat in still water = Speed upstream + Speed of current = 8 km/h + 4 km/h = 12 km/h.

A boat can go 24 km upstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

A boat can go 24 km upstream in 3 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 is going upstream against the current.
Step 2: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time.
Step 3: Plug in the values: Distance = 24 km and Time = 3 hours. So, Speed upstream = 24 km / 3 h.
Step 4: Perform the calculation: 24 km / 3 h = 8 km/h. This is the speed of the boat going upstream.
Step 5: Know that the speed of the current is given as 4 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 = 8 km/h + 4 km/h.
Step 8: Perform the calculation: 8 km/h + 4 km/h = 12 km/h. This is the speed of the boat in still water.

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 boat in still water to the speed of the current to find the effective speed.