Algebra Help. 10 easy points... PLEASE HELP!!!?

Question

Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 40 miles per hour and train B is traveling 48 miles per hour. Train A passes the station at 9:15pm. If train B passes the same station at 9:30pm what time will train B catch up to train A?

Answer 1

no it doesnt theyre the same station

Answer 2

distance = speed x time

A= distance train A travels= 40 t where t is in hours

B= distance train B travels = 48t

Know that both trains pass the same station 15 minutes apart, so can find out how far Train A has travelled in 15 minutes ( how far ahead it is)

A= 40 * 0.25= 10 miles

Now train B has to close the 10 mile gap

the difference in speed between train A and train B= 8MPH (train B is travelling this much faster

Now the equation is: B (distance train B travels)= 10= (48-40)t

solve for t

10=8t

t= 10/8= 1.25 hours= 1 hour and 15 mins= 75 mins

9:30 PM + 1 hr 15 mins= 10:45 PM

Answer 3

This really depends on the distance between stations, or the time it takes to get to each station.

Answer 4

Ans 10.45pm

At 9.15 pm, Train B was 12 miles behind(48/(15/60))

Relative speed = 48-40 = 8

Time = 12 / 8 = 1 hour 30min after 9.15pm = 10.45pm