Question

Two trains, one travelling $15km/hr$ faster than the other, leave the same station at the same time, one travelling east and the other west. At the end of $6$ hours they are $570km$ apart. What are the speeds of each train?

Answer 1

Speed of slower train$=x$
Speed of faster train $=x+15$

$6(x+x+15)=570$

so distance will be km$.$

divide by $6$ and collect terms
$(2x+15)=95$
subtract $15$ from both sides
$2x=80$

divide by $2$
$x=40km/h$ $\left(slower\right)$
$x+15=55$ km/h $\left(faster\right)$
$6$ hours
slower train $6\times 40=240$ km
faster train $6\times 55=330$
Total is sum$=$ $570.$