Homework Help: Algebra

Posted by Leila on Monday, March 1, 2010 at 1:35am.

trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 64 miles per hour. train a passes a station at 1:25 pm. if train b passes the same station at 1:55 pm, at what time will train b catch up to train a?

Algebra - Reiny, Monday, March 1, 2010 at 8:53am
Let the time from 1:55 to when they meet be t hours
so when they meet:
train a has gone 30 + 60t miles
train b has gone 64t miles

64t = 30 + 60t
t = 15/2 or 7.5 hours = 7hours, 30 minutes

so the meet at 1:55 + 7:30 = 9:25 pm

check: first train went from 1:25 to 9:25 or 8 hours
distance = 8(60) = 480 miles
second train from 1:55 to 9:25 = 7.5 hours
distance - 7.5(64) = 480 miles

Yeahhh!
Algebra - danny, Monday, March 1, 2010 at 11:59am
-9f + 7f - 17

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