For a certain swimmer, the average speed over a swim upstream and back equals three-quarters of her still-water speed. What is the ratio of the current's speed to her still-water speed?

Question

Accepted Answer

1 : 2. Round-trip average = (b² − s²)/b = 0.75b ⇒ s² = 0.25b² ⇒ s = b/2. Ratio = 1 : 2.

For a certain swimmer, the average speed over a swim upstream and back equals three-quarters of her still-water speed. What is the ratio of the current's speed to her still-water speed?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Boats & Streams practice