To solve this problem, let us first assign variables.
Let us say that,
A = man
B = dog
And the distance travelled by man and dog must be equal, therefore:
dA = dB
From the linear equations, we know that the formula for distance d is:
d = v t
where v is velocity and t is time, therefore:
vA tA = vB tB
We are given tA = tB + 1.6 s, therefore:
vA (tB + 1.6) = vB tB
1.1 (tB + 1.6) = 2.4 tB
1.1 tB + 1.76 = 2.4 tB
1.3 tB = 1.76
tB = 1.354 s
Therefore they both travelled a distance of:
dA = dB = 1.354 s * 2.4 m/s = d
d = 3.25 m
