<PRE><B>Question 1154800</B>
rate * time = distance
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Let the rate of train B be r, then rate of train A is r+15
:
(1)  (r+15) * t = 270
:
(2)  r * t = 240
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There are two equations in two unknowns
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solve equation 2 for t
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t = 240/r
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substitute for t in equation 1
:
(r+15) * 240/r = 270
:
240r +3600 = 270r
:
30r = 3600
:
r = 120
:
Train B travels at 120 miles per hour
:
Train A travels at 120 +15 = 135 miles per hour
:
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Train A was traveling at 135 miles an hour where train B was traveling at 120 miles per hour
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