Question
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?
Answers
Reiny
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
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