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:

$20 t_1 = 39 t_2 \ \\ t_1 + t_2 = \dfrac{ 88}{60} \ \\ t_1 \doteq 0.97 \ h \ \\ t_2 \doteq 0.5 \ h \ \\ s = 20 t_1 + 39 t_2 = 38.8 \ \text{km} \ \\$

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