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A person can paddle at 6 km/hr in still water. It takes them three times as long to paddle upstream as to paddle downstream. What is the speed of the river's current?
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Solution: Step 1: Let the speed of the river current be x km/hr. Step 2: Upstream speed = 6 - x km/hr, downstream speed = 6 + x km/hr. Step 3: Since it takes three times longer to go upstream, we have: 1 / (6 - x) = 3 / (6 + x) Step 4: Cross multiply: 6 + x = 3 * (6 - x) Step 5: Expand: 6 + x = 18 - 3x Step 6: Rearrange: 4x = 12 Step 7: Solve for x: x = 3 Step 8: Therefore, the speed of the river's current is 3 km/hr.
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