Question

Two trains are travelling on parallel tracks both going from station A to station B.Train 1 leaves at 8 am, at 65 miles per hour. Train 2 leaves at 10 am, at 90 miles per hour. At what time will train 2 catch up to train 1?

Answer 1

5.2 hours later, or

3:12 PM

Answer 2

let the time taken since 10:00 am till they meet be t hrs
at 10:00 am , train will have already gone 130 miles
when they meet, they both will have traveled the same distance, so ...

90t = 130 + 65t
25t = 130
t = 5.2 hrs or 5 hrs and 12 minutes
that would put the time at 10:00 + 5:12
= 17:12 or 5:12 pm