Overtake 82752

I am passing a tractor whose speed is 20 km/h. The length of the tractor with the siding is 10 m. My speed is 50 km/h.

How long will I overtake the tractor?

Correct answer:

t =  1.2 s

Step-by-step explanation:

$$\begin{gathered} v_1=20\text{km/h}\to \text{m/s}=20:3.6\text{m/s}=5.55556\text{m/s} \\ {s}_1=10\text{m} \\ {v}_2=50\text{km/h}\to \text{m/s}=50:3.6\text{m/s}=13.88889\text{m/s} \\ v=v_2-v_1=13.8889-5.5556=\frac{25}{3}\doteq 8.3333\text{m/s} \\ {s}_1=v\cdot t \\ t=s_1/v=10/8.3333=1.2\text{s} \end{gathered}$$

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