Bus speed calculation

A bus driver on a route between two neighboring villages travels at an average speed of 70 kilometers per hour and takes 1/2 hour. At what speed must he goes if he is 10 minutes late and wants to get to the neighboring village on time?

Final Answer:

v₂ =  105 km/h

Step-by-step explanation:

$$\begin{gathered} v_1=70\text{km/h} \\ t=1/2=\frac{1}{2}=0.5\text{h} \\ s=v_1\cdot t=70\cdot 0.5=35\text{km} \\ {t}_2=t-10/60=0.5-10/60=\frac{1}{3}\doteq 0.3333\text{h} \\ {v}_2=s/t_2=35/0.3333=105\text{km/h} \end{gathered}$$

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