# Two trains

There are two trains running the same distance. 1st train will travel it in 7 hours 21minutes. 2nd the train will travel 5 hours 57minutes and 34 seconds and it is 14 km/h faster than the first train. What are speeds of trains and how long is this railway?

Result

a =  60 km/h
b =  74 km/h
s =  441 km

#### Solution:

b=a+14
a*(7+21/60)=b*(5+57/60+34/3600)

a-b = -14
26460a-21454b = 0

a = 59.999201
b = 73.999201

Calculated by our linear equations calculator.
$b = 73.9992 \doteq 73.9992 = 74 \ \text{ km/h }$
$s = a \cdot \ (7+21/60) = 59.9992 \cdot \ (7+21/60) = 441 = 441 \ \text{ km }$

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