# Bus vs train

Milada took the bus and the journey took 55 minutes. Jarmila was 1h 20 min by train. They arrived in Prague at the same time 10h45 min. At what time did each have to go out?

Result

M = 9:50 HH:MM
J = 9:25 HH:MM

#### Solution:

$M=10 + \dfrac{ 45 }{ 60 } - \dfrac{ 55 }{ 60 }=\dfrac{ 59 }{ 6 }=9.83333=9:50 \ \text{HH}:\text{MM}$
$J=10 + \dfrac{ 45 }{ 60 } - (1+\dfrac{ 20 }{ 60 } )=\dfrac{ 113 }{ 12 }=9.41667=9:25 \ \text{HH}:\text{MM}$

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