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

First, simplify $\frac{120}{6}$ miles. $\frac{120}{6} = 20$ miles. So the train travels 20 miles in $\frac{1}{3}$ hours.

Step2: Find the speed

Speed is distance divided by time. So speed $v = \frac{20}{\frac{1}{3}}$. When dividing by a fraction, we multiply by its reciprocal, so $v = 20\times3 = 60$ miles per hour.

Step3: Calculate distance in 5 hours

Now, to find the distance traveled in 5 hours, use the formula $d = v\times t$, where $v = 60$ mph and $t = 5$ hours. So $d = 60\times5 = 300$ miles.

Answer:

300