Walkers

Walker, which makes 120 steps per minute, makes the distance from point A to point B 55 minutes. The length of his step is 75cm. How long does this distance go, a boy who will do 110 steps 60 cm long in a minute?

Correct answer:

t =  75 min

Step-by-step explanation:

$$\begin{gathered} k_1=75\text{cm}\to \text{m}=75:100\text{m}=0.75\text{m} \\ {n}_1=1201\text{/min} \\ {k}_2=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ {n}_2=1101\text{/min} \\ s=n_1\cdot 55\cdot k_1=120\cdot 55\cdot 0.75=4950\text{m} \\ v=n_2\cdot k_2=110\cdot 0.6=66\text{m/min} \\ t=s/v=4950/66=75\text{min} \end{gathered}$$

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