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Question
a train travels \\(\frac{120}{6}\\) miles in \\(\frac{1}{3}\\) hours. how many miles will the train travel in 5 hours?
Step1: Simplify the distance
Simplify $\frac{120}{6}$ to get 20 miles. So the train travels 20 miles in $\frac{1}{3}$ hours.
Step2: Find the speed
Speed is distance divided by time. So speed $v = \frac{20}{\frac{1}{3}} = 20\times3 = 60$ miles per hour.
Step3: Calculate distance in 5 hours
Distance = speed × time. So distance $d = 60\times5 = 300$ miles.
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