distance between woman and river is 4.2 km
speed of the woman = 2.2 m/s
now the time taken by the woman to reach the river is given as
[tex]t = \frac{d}{v}[/tex]
[tex]t = \frac{4200}{2.2}[/tex]
[tex]t = 1909.1 s[/tex]
now we have to find the distance covered by the dog in the same time
[tex]d = v_{dog} * t[/tex]
[tex]d = 4 * 1909.1[/tex]
[tex]d = 7636.4 m = 7.636 km[/tex]
so the distance covered will be 7.636 km