Cyclist peloton speed

The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?

Final Answer:

v₂ =  60 km/h

Step-by-step explanation:

$$\begin{gathered} v_1=48\text{km/h} \\ {t}_1=5\text{min}\to \text{h}=5:60\text{h}=0.08333\text{h} \\ {t}_2=20\text{min}\to \text{h}=20:60\text{h}=0.33333\text{h} \\ {s}_1=s_2 \\ {v}_1\cdot (t_1+t_2)=v_2\cdot t_2 \\ 48\cdot (0.083333333333333+0.33333333333333)=v_2\cdot 0.33333333333333 \\ 0.333333v_2=20 \\ {v}_2=\frac{20}{0.33333333}=60 \\ {v}_2=60=60\text{km/h} \end{gathered}$$

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