A boat can row at 5 km/h in still water. If it takes 2 hours to row upstream aga

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Question: A boat can row at 5 km/h in still water. If it takes 2 hours to row upstream against a current, how far has it traveled?

Options:

Correct Answer: 10 km

Solution:

Distance = speed × time. Upstream speed = 5 - current speed. If current speed is 1 km/h, distance = (5 - 1) × 2 = 8 km.

A boat can row at 5 km/h in still water. If it takes 2 hours to row upstream against a current, how far has it traveled?

A boat can row at 5 km/h in still water. If it takes 2 hours to row upstream against a current, how far has it traveled?

Step 1: Identify the speed of the boat in still water, which is 5 km/h.
Step 2: Understand that the boat is rowing upstream against a current.
Step 3: Determine the time taken to row upstream, which is 2 hours.
Step 4: Calculate the effective speed of the boat while rowing upstream. This is the speed of the boat minus the speed of the current.
Step 5: Assume the current speed is 1 km/h (as given in the short solution). So, effective speed = 5 km/h - 1 km/h = 4 km/h.
Step 6: Use the formula for distance, which is Distance = Speed × Time.
Step 7: Substitute the effective speed and time into the formula: Distance = 4 km/h × 2 hours.
Step 8: Calculate the distance: 4 km/h × 2 = 8 km.

Relative Speed – Understanding how to calculate effective speed when moving against a current.
Distance Calculation – Using the formula distance = speed × time to find the distance traveled.