Mother daughter stride

Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps.
What is the mother's stride length? How many steps did the daughter take?

Final Answer:

m =  0.569 m
D =  1120

Step-by-step explanation:

$$\begin{gathered} s=478\text{m} \\ M=840 \\ m=s/M=478/840=0.569\text{m} \end{gathered}$$

$$\begin{gathered} M:D=3:4 \\ D=\frac{4}{3}\cdot M=\frac{4}{3}\cdot 840=\frac{4\cdot 840}{3}=\frac{3360}{3}=1120 \end{gathered}$$

Try another example