SOLUTION: A local bus departs every 20 minutes. An express bus departs every 5/4 hours. If they depart together at 6:00 A.M., at what time will they next depart at the same time?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A local bus departs every 20 minutes. An express bus departs every 5/4 hours. If they depart together at 6:00 A.M., at what time will they next depart at the same time?      Log On

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Question 813152: A local bus departs every 20 minutes. An express bus departs every 5/4 hours. If they depart together at 6:00 A.M., at what time will they next depart at the same time?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is a certain number of 1/3 hr intervals that
add up to some other number of 5/4 hr intervals.
--------------
Expressed as an equation:
+a%2A%281%2F3%29+=+b%2A%285%2F4%29+
where a and b are whole numbers
+a%2Fb+=+%285%2F4%29+%2F+%281%2F3%29+
+a%2Fb+=+15%2F4+
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It looks like there are 15 local bus arrivals
and 4 express bus arrivals and the last ones
happen at the same time
+15%2A%281%2F3%29+=+5+
and
+4%2A%285%2F4%29+=+5+
So, in 5 hrs they depart at the same time