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:

v1=5 km/h v2=100 km/h t1=4 h s=v1⋅ t1=5⋅ 4=20 km t3=s/v2=20/100=15=0.2 h t2=t3⋅ 60=0.2⋅ 60=12 min=12  min 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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