Question

two trains leave towns 480 km apart at the same time and travel toward each other. one train travels 18 km/h faster than the other. If they meet in 2 hours what is the rate of each train?

Answer 1

`\begin{gathered} \text{Let assume one train spe}ed\text{ is x km/h} \\ \text{Second train spe}ed\text{ is }\Rightarrow(x+18)\text{ km/h} \\ \text{They m}eet\text{ in 2 hour,so} \\ 2=(480)/(x+x+18) \\ 2x+18=(480)/(2) \\ 2x=240-18 \\ x=(222)/(2) \\ x=111\text{ km/h (1st train spe}ed) \\ x+18=111+18=129\text{ km/hr (2nd rain sp}eed)\text{ } \end{gathered}`