Question

A freight train travels 260 km in the same time a passenger train travels 320 km. If the passenger train averages 15km/hour faster than the freight train, what is the average speed of the freight?

time = t

vf t = 260
vp t = 320
so

260/vf = 320/(vf+15)

320 vf = 260 vf +260(15)
60 vf = 390
3 vf = 39
vf = 13 km/hour

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