Question 463626
Distance divided by rate equals time. Going down stream the rate is r+2 so for going down stream the time is

66/(r+2)
For going up stream the rate is r-2 so the time for going up stream is
54/(r-2)

The times are equal so
66/(r+2) = 59/(r-2)
Multiply this equation by (r+2)(r-2)

(r+2)(r-2)(66/(r+2)) = (r+2)(r-2)(59/(r-2))
(r-2)66 = (r+2)59
66r - 132 = 59r - 118
66r - 59r = 132 - 118
7r = 14
r = 14/7
r = 2