A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h,

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Question: A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 8 km/h

Solution:

Speed upstream = Distance/Time = 36 km / 6 h = 6 km/h. Speed of boat in still water = Speed upstream + Speed of current = 6 km/h + 2 km/h = 8 km/h.

A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Correct Answer: 8 km/h

Step 1: Understand that the boat travels 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 = 36 km and Time = 6 hours.
Step 4: Calculate the speed upstream: 36 km / 6 h = 6 km/h.
Step 5: Know that the speed of the boat in still water is the speed upstream plus the speed of the current.
Step 6: The speed of the current is given as 2 km/h.
Step 7: Add the speed upstream (6 km/h) to the speed of the current (2 km/h).
Step 8: Calculate the speed of the boat in still water: 6 km/h + 2 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 boat in still water to the speed of the current to find the effective speed.