Homework Help: algebra

Posted by cookie on Thursday, February 3, 2011 at 8:59pm.

Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hr and train B is traveling at 88 miles per hour. Train A passes a station at 8:10 AM. If train B passes the same station at 8:40 AM, what time will train B catch up to train A? Answer: ____:____ am or pm

algebra - helper, Thursday, February 3, 2011 at 9:41pm
D = RT
88 = Rate of Train B
T = Time of Train B
88T = Distance of Train B

80 = Rate of Train A
T + .5 = Time of Train A (8:40 - 8:10 = 30 min = .5 h)
80(T + .5) = Distance of Train A

Since distances are equal
80(T + .5) = 88T
80T + 40 = 88T
8T = 40
T = 5

Train B will catch up to A in 5 hrs

I'll let you calculate what time train B will catch up to train A.

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