If a boat can travel 20 km upstream in 4 hours, what is the speed of the current

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Question: If a boat can travel 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?

Options:

Correct Answer: 2 km/h

Solution:

Speed upstream = distance/time = 20/4 = 5 km/h. Speed of current = speed of boat - speed upstream = 10 - 5 = 5 km/h.

If a boat can travel 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?

If a boat can travel 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?

Step 1: Understand that the boat travels upstream against the current.
Step 2: Calculate the speed of the boat when it is going upstream using the formula: speed = distance / time.
Step 3: Plug in the values: distance is 20 km and time is 4 hours. So, speed upstream = 20 km / 4 hours = 5 km/h.
Step 4: Know that the speed of the boat in still water is given as 10 km/h.
Step 5: To find the speed of the current, subtract the speed upstream from the speed of the boat in still water: speed of current = speed of boat - speed upstream.
Step 6: Plug in the values: speed of current = 10 km/h - 5 km/h = 5 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream.
Speed Calculation – Calculating speed using the formula speed = distance/time.
Upstream vs. Still Water Speed – Differentiating between the speed of the boat in still water and its effective speed when moving against the current.