SOLUTION: Two trucks travelling in opposite directions on a highway just pass each other. One truck travels at 65km/h and the other travels at 60km/h. Find the maximum time required so that

Algebra ->  Finance -> SOLUTION: Two trucks travelling in opposite directions on a highway just pass each other. One truck travels at 65km/h and the other travels at 60km/h. Find the maximum time required so that       Log On


   



Question 1103391: Two trucks travelling in opposite directions on a highway just pass each other. One truck travels at 65km/h and the other travels at 60km/h. Find the maximum time required so that they will be at least 50km apart. Let x be the minimum time required for at least 50 km apart. Solve using inequalities.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as 1 truck moving
at the sum of their speeds and the
other truck standing still
Let +t+ = minimum time in hrs for them to
be +50+ km apart
------------------------------------
+%28+65+%2B+60+%29%2At+%3E=+50+
+125t+%3E=+50+
+t+%3E=+.4+ hrs
also
+t+%3E=+.4%2A60+ min
+t+%3E=+24+ min
------------------------
check:
+d%5B1%5D+=+65%2A.4+
+d%5B1%5D+=+26+ km
and
+d%5B2%5D+=+60%2A.4+
+d%5B2%5D+=+24+ km
and
+d%5B1%5D+%2B+d%5B2%5D+=+26+%2B+24+
+d%5B1%5D+%2B+d%5B2%5D+=+50+ km
OK