SOLUTION: Can you please help me with this problem: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveli

Question 206210: Can you please help me with this problem:
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 48 miles per hour. Train A passes a station at 11:15PM.. If train B passes the same station at 11:30pm, at what time will train B catch up to train A? (write am, or pm in the answer)

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 48 miles per hour. Train A passes a station at 11:15PM.. If train B passes the same station at 11:30pm, at what time will train B catch up to train A?
;
from the given information, we know that train B is 15 min (.25 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: .25 * 48 = 12 mi
:
Let t = time required for train B to catch train A
:
write a distance equation: Dist = speed * time
:
Train B travel dist = Train A travel dist + 12 mi
48t = 40t + 12
48t - 40t = 12
8t =
t = 1.5 hr or 1 hr 30 min
:
11:15 PM + 1:30 = 00:45 AM, B catches A
:
:
Check solution by finding the distances (train B travels 12 mi more than train A)
48 * 1.5 = 72 mi
40 * 1.5 = 60 mi
-------------------
difference= 12 mi

RELATED QUESTIONS
Can you please help me solve this? Trains A and B are traveling in the same... (answered by solver91311)

This word problem has driven me crazy for a week. Please help me and show me how you came (answered by Theo,Alan3354)

Can you help me with this word problem: Trains A and B are traveling same direction on (answered by Alan3354)

I have no idea how to solve this. I am probably making it harder then it is. Can someone... (answered by checkley77,ankor@dixie-net.com)

Please help me solve this word problem. Trains A and B are traveling in the same... (answered by ankor@dixie-net.com)

Please help me with the following word problem; Trains A and B are traveling in the... (answered by Alan3354)

I'm having a hard time with this problem can someone help? Thanks. Trains A+B are... (answered by stanbon)

i really would appreciate some help with this problem. trains A and B are traveling in... (answered by mananth,ccs2011)

Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by ankor@dixie-net.com)