Question

a train travels \\(\frac{120}{6}\\) miles in \\(\frac{1}{3}\\) hours. how many miles will the train travel in 5 hours?

Explanation:

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 \(v=\frac{\text{distance}}{\text{time}}\), so \(v = \frac{20}{\frac{1}{3}}\). Using the rule \(\frac{a}{\frac{b}{c}}=a\times\frac{c}{b}\), we get \(v = 20\times3=60\) miles per hour.

Step3: Calculate distance in 5 hours

Distance \(d=v\times t\), where \(v = 60\) mph and \(t = 5\) hours. So \(d=60\times5 = 300\) miles.

Answer:

300