SOLUTION: if trains a and b are travelin gthe same direction on parallel tracks. train a is traveling at 100 mph and train b is traveling 120 mph. train a passes a station at 9:20 am if trai
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Question 206062: if trains a and b are travelin gthe same direction on parallel tracks. train a is traveling at 100 mph and train b is traveling 120 mph. train a passes a station at 9:20 am if train b passes the same station at 9:32 amd at what time will train b catch up to train A Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! if trains a and b are traveling the same direction on parallel tracks.
train a is traveling at 100 mph and train b is traveling 120 mph.
train a passes a station at 9:20 am if train b passes the same station at 9:32
and at what time will train b catch up to train A
;
from the given information, we know that train B is 12 min (.2 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: .2 * 120 = 24 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 + 24 mi
120t = 100t + 24
120t - 100t = 24
120t =
t = 1.2 hr or 1 hr 12 min
:
9:20 + 1:12 = 10:32 pm, B catches A
:
:
Check solution by finding the distances (train b travels 24 mi more than train b)
120 * 1.2 = 144 mi
100 * 1.2 = 120 mi
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difference = 24 mi
