# Train and walker

Walker passes an hour 5 km. Express train per hour 100 km. Walker went 4 hours. How many minutes took the distance express train?

Result

t2 =  12 min

#### Solution:

$v_{ 1 } = 5 \ km/h \ \\ v_{ 2 } = 100 \ km/h \ \\ t_{ 1 } = 4 \ h \ \\ s = v_{ 1 } \cdot \ t_{ 1 } = 5 \cdot \ 4 = 20 \ km \ \\ t_{ 3 } = s/v_{ 2 } = 20/100 = \dfrac{ 1 }{ 5 } = 0.2 \ h \ \\ t_{ 2 } = t_{ 3 } \cdot \ 60 = 0.2 \cdot \ 60 = 12 \ min = 12 \ \text{ min }$

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