SOLUTION: A train leaves at 10 am and is traveling 55 mph due east. Another train leaves 2 hours after the first train traveling 65 mph due east so that they can catch up to the first train.

Question 613795: A train leaves at 10 am and is traveling 55 mph due east. Another train leaves 2 hours after the first train traveling 65 mph due east so that they can catch up to the first train. How long does it take the second train to catch up to the first train? What time does the second train catch up to the first train?
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A train leaves at 10 am and is traveling 55 mph due east. Another train leaves 2 hours after the first train traveling 65 mph due east so that they can catch up to the first train. How long does it take the second train to catch up to the first train? What time does the second train catch up to the first train?
--------------------------
1st east-bound train DATA:
rate = 55 mph ; time = x hrs ; distance = 55x miles
-------------------------------------------
2nd east-bound train DATA:
rate = 65 mph ; time = x-2 hrs ; distance 65(x-2) = 65x-130 miles
-------------------------------------------
Equation:
distance = distance:
55x = 65x-130
10x = 130
x = 13
Catchup time: 11PM
===========================
Cheers,
Stan H.
===========================

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A train leaves at 10 am and is traveling 55 mph due east. Another train leaves 2 hours after the first train traveling 65 mph due east so that they can catch up to the first train. How long does it take the second train to catch up to the first train? What time does the second train catch up to the first train?
**
let x = time second train catches up to first train.
Distance=travel time*speed
Distance first train traveled=55(x+2)
Distance 2nd train traveled=65x
65x=55(x+2)=55x+110
10x=110
x=11
ans:
Time second train catches up to first train=11 hrs
What time second train catches up to first train=9PM

RELATED QUESTIONS
Train A leaves the station traveling east at 45 mph. Three hours later train B leaves the (answered by Alan3354)
one train leaves a station heading due west. two hours later a second train leaves the... (answered by xcentaur)
One train leaves a station heading due west. Two hours later a second train leaves the... (answered by mananth)
Hi - could someone please provide some help on this one? Thanks so very much in advance! (answered by ankor@dixie-net.com)
At noon a train leaves cleveland and heads due north at 10 mph. Another train leaves at... (answered by Fombitz)
A passenger train leaves a train depot 2 hours after a freight train leaves the same... (answered by VFBundy)
A passenger train leaves the train depot four hours after the cargo train traveling in... (answered by stanbon)
Train A leaves the station traveling at noon traveling 30 mph. Train B leaves the same... (answered by jorel1380)
Train A leaves the station traveling east at 45 mph while train B leaves the station 30... (answered by richwmiller)