A boat can travel 30 km upstream in 5 hours. If the speed of the current is 3 km

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Question: A boat can travel 30 km upstream in 5 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 12 km/h

Solution:

Speed upstream = Distance/Time = 30 km / 5 h = 6 km/h. Speed of boat in still water = Speed upstream + Speed of current = 6 km/h + 3 km/h = 9 km/h.

A boat can travel 30 km upstream in 5 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?

A boat can travel 30 km upstream in 5 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat travels upstream, which means it is going 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 = 30 km and Time = 5 hours. So, Speed upstream = 30 km / 5 h = 6 km/h.
Step 4: Know that the speed of the boat in still water is the speed upstream plus the speed of the current.
Step 5: The speed of the current is given as 3 km/h. So, add this to the speed upstream: 6 km/h + 3 km/h.
Step 6: Calculate the total: 6 km/h + 3 km/h = 9 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 traveling upstream or downstream.
Distance, Speed, and Time Relationship – Applying the formula Distance = Speed × Time to calculate speed in different scenarios.