Question 766346
let speed of current be x

speed against current = 12-x

speed with current = 12+x

t=d/r

time upstream + time downstream = 1 hour 4 min

{{{6/(12-x) + 6/(12+x)= 16/15 }}}


LCD = (12+x)(12-x)

{{{6(12+x)+6(12-x)= (16/15)(12+x)(12-x)}}}

{{{72+6x+72-6x=(16/15)(144-x^2)}}}

multiply by 15

{{{144*15 = 16(144-x^2)}}}
/16

9*15=144-x^2

x^2=144-135

x^2=9
x= +/- 3

so x =3 mph the speed of current