John M. answered • 02/16/18

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High School and College Science Tutor

Let r be the rowers' rate and c be the current's rate.

**rate x time = distance**

**4(r + c) = 24**

**6(r - c) = 24**

**4r + 4c = 24**

**r + c = 6**

**c = 6 - r**

**6(r - (6 - r)) = 24**

**12r - 36 = 24**

**12r = 60**

**r = 5**

**c = 6 - 5 = 1**

The rate of the current is 1 mile per hour.