The cyclist

The cyclist went from village to town. First half of journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journey took 88 minutes. Calculate the distance from the village to the town.

Correct result:

d =  38.8 km

Solution:

$$\begin{gathered} 20t_1=39t_2 \\ {t}_1+t_2={\displaystyle \frac{88}{60}} \\ {t}_1\doteq 0.97h \\ {t}_2\doteq 0.5h \\ s=20t_1+39t_2=38.8\text{ km } \end{gathered}$$

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