...A is treaveling at 60 miles per? hour and train b is traveling at 70 miles per hour. Train A passes a statio at 5:25 P.M. If train B passes the same station at 5:55 P.M., at what time will train B catch up to train A?
Say they meet after x miles.
so train A takes x/60 hrs. to travel x miles.x/60 hrs means x minutes.
(x/60*60 to convert it to min)..........(1)
train B takes x/70 hrs to travel x miles i.e 6x/7 min.(just multiply with 60 to convert the unit into min)................(2)
now we know that there is a 30 min difference between the time of these 2 trains passing the same station.
So now we get an equation like this
x+30=6x/7
or x=210
this means these trains will meet after 210 miles from the mentioned station.
so train A takes 210 min or 3.5 hrs to reach that point and train B takes 3 hrs to reach the same point.( just put the value of x in (1) & (2)
So they will meet at (5.25+3.30)P.M i.e at 8.55 P.M