algebra
posted by Nancy on .
Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling at 110 mph. Train A pases a station at 4:10 a.m. If train B passes the same station at 4:22 a.m., at what time will train B catch up to train A?

4:22  4:10 = :12 min = 0.2 h = makeup time for train B.
Train A time = t hrs,
Train B time = (t  0.2) hrs.
d(A) = d(B) = Distance traveled.
100t = 110(t  0.2),
100t = 110t  22,
100t  110t = 22,
10t = 22,
t = 2.2 hrs,
(t  0.2) = 2.2  0.2 = 2.0 hrs =
time to catchup.