train 1 travels at 90kil per hour from one city to another. train2 takes 2.5hrs longer at 50k. how far apart?

Question

Please help me with the equation set up to see how far apart the 2 cities are! Thanks

Answer 1

let t equal the time (in hours) it takes train 1 to travel to the other city. Therefore:

(t)(90kph) = (t +2.5)(50kph)

thus: 90t = 50t + 125

thus: 40t = 125

thus: t = 3.125 hours

Now just multiple 3.125 hours times 90kph to get 281.15 kilometers

We can check our answer by solving for train 2: (3.125 hours + 2.5 hours)(50kph) =
(5.625)(50) = 281.25 kilometers {the same answer!}

Best wishes and good luck.