SOLUTION: A truck and a van leave the same location at the same time and travel in opposite directions. The trucks speed is 52 mph and the vans is 63 moh. when will they be 46 miles apart?

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Question 711745: A truck and a van leave the same location at the same time and travel in opposite directions. The trucks speed is 52 mph and the vans is 63 moh. when will they be 46 miles apart?
I am having a hard time setting up the equation.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance in miles that the truck travels
when they are +46+ miles apart
+46+-+d+ = the distance in miles that the van travels
when they are +46+ miles apart
Let +t+ = the time in hrs for them to be +46+ mi apart
---------------
Truck's equation:
(1) +d+=+52t+
Van's equation:
(2) +46+-+d+=+63t+
------------------
Substitute (1) into (2)
(2) +46+-+52t+=+63t+
(2) +52t+%2B+63t+=+46+
(2) +115t+=+46+
(2) +t+=+.4+ hrs
(2) +t+=+.4%2A60+ min
(2) +t+=+24+ min
They will be 46 mi apart in 24 min