SOLUTION: A train leaves Little Rock, Arkansas and travels north at 55 kilometers per hour. Another train leaves at the same time and travels south at 60 kilometers per hour. How long will i

Algebra ->  Finance -> SOLUTION: A train leaves Little Rock, Arkansas and travels north at 55 kilometers per hour. Another train leaves at the same time and travels south at 60 kilometers per hour. How long will i      Log On


   



Question 1070748: A train leaves Little Rock, Arkansas and travels north at 55 kilometers per hour. Another train leaves at the same time and travels south at 60 kilometers per hour. How long will it take before they are 354 kilometers a part?
Thank you for the help!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one of the trains standing
still and the other one traveling at the sum of their speeds
-----------------------------
Let +t+ = time in hrs for the trains to be 354 km apart
+345+=+%28+55+%2B+60+%29%2At+
+345+=+115t+
+t+=+3+
They will be 345 km apart in 3 hrs
-------------------------------------
( I used +345+ because it makes the time come out a whole number )
check answer:
+d%5B1%5D+=+55t+
+d%5B1%5D+=+55%2A3+
+d%5B1%5D+=+165+ km
and
+d%5B2%5D+=+60t+
+d%5B2%5D+=+60%2A3+
+d%5B2%5D+=+180+ km
and
+d%5B1%5D+%2B+d%5B2%5D+=+165+%2B+180+
+d%5B1%5D+%2B+d%5B2%5D+=+345+
OK