Question 818941
s = d / t
t = d / s
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speeds:
s = speed of passenger train
speed of freight train = (s - 20)
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times:
T = 240 / s
T = 160 / (s - 20)
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240/s = 160/(s - 20)
240(s - 20)/s(s - 20) = 160s/s(s - 20)
240(s - 20)/s(s - 20) - 160s/s(s - 20) = 0
240(s - 20) - 160s = 0s(s - 20)
240s - 4800 - 160s = 0
80s - 4800 = 0
80s = 4800
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s = 60
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answer:
speed of passenger train = 60 mph
speed of freight train = 40 mph
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