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An express train travels 90 kilometers per hour from Smallville to Megatown. A local train takes 2.5 hours longer to travel the same distance at 50 kilometers per hour. How far apart are Smallville and Megatown. 

 Oct 25, 2016
 #1
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Let 'x' equal time for mega train

Slower train time is  x + 2.5

 

90 km/hr * x hr   = Distance = (x+2.5)hr * 50 km/hr

90x =(x+2.5)50

90x = 50x + 125

40x = 125

x = 125/40 = 3 5/40 hr = 3 hours 7.5 min

 

3  5/40 hr  *  (90km/hr) = 281.25 km apart

 Oct 25, 2016

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