SOLUTION: Albany and new york are 180 miles apart. A truck travels from new York to albany at the rate of 65 mph (miles per hour.) another truck travels from albany to new york at 55 mph. Ho

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Albany and new york are 180 miles apart. A truck travels from new York to albany at the rate of 65 mph (miles per hour.) another truck travels from albany to new york at 55 mph. Ho      Log On

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Question 903980: Albany and new york are 180 miles apart. A truck travels from new York to albany at the rate of 65 mph (miles per hour.) another truck travels from albany to new york at 55 mph. How many miles did each truck travel before they met
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as one truck standing still
and the other one moving at the sum
of their speeds toward the other
+180+=+%28+65+%2B+55+%29%2At+
+t+=+180+%2F+120+
+t+=+3%2F2+
---------------
NY to Albany truck:
+d%5B1%5D+=+65%2A%283%2F2%29+
+d%5B1%5D+=+97.5+ mi
--------------------
Albany to NY truck:
+d%5B2%5D+=+55%2A%283%2F2%29+
+d%5B2%5D+=+82.5+ mi
----------------
check:
+d%5B1%5D+%2B+d%5B2%5D+=+97.5+%2B+82.5+
+d%5B1%5D+%2B+d%5B2%5D+=+180+
OK

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
d=r*t+R*t
180=65*t+55*t
180=120*t
t=1.5 hours
d=R*t
d=55*1.5
d=82.5 miles at 55 mph
d=r*t
d=65*1.5
d=97.5 miles at 65 mph