Train A leaves Tigerville at 9 am traveling east at 85 mph. Train B leaves Liontown at 9:20am travelling west at 60 mph on the exact same tracks. Tigerville and liontown are 154 miles apart. At what time will the trains meet?

Answer 1

When they "meet" the difference in their travel time is 20 minutes or 1/3 of an hour

let the distance from from Tigersville be x
x/85 - (154-x)/60 = 1/3
times 1020 , the LCM of 85, 60 and 3
12x - 17(154-x) = 340
12x - 2618 + 17x = 340
29x = 2958
x = 102

time for first train = 102/85 = 1.2 hrs or 72 minutes
time for 2nd train = (154-102)/60 = 52 minutes

so they will meet at 9:00 am +72 min
= 10:12 am