SOLUTION: Batman leaves Gotham city in the Batmobile, driving at an average speed of 95 miles per hour. Four hours and twenty minutes later, the Flash leaves Gotham, chasing Batman at a rate

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Question 1108861: Batman leaves Gotham city in the Batmobile, driving at an average speed of 95 miles per hour. Four hours and twenty minutes later, the Flash leaves Gotham, chasing Batman at a rate of 250 miles per hour. How kind does it doe the Flash to catch Batman?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Batman's headstart is
+d%5B1%5D+=+95%2A%2813%2F3%29+
+d%5B1%5D+=+411.667+
( I converted hrs and min to hrs )
Let +t+ = time in hrs for Flash to catch Batman
Let +d+ = distance in miles Flash travels
until he catches Batman
---------------------------------------------
Start a stop watch when Flash leaves Gotham.
Let +t+ = time in hrs on stop watch when
flash catches Batman
---------------------------------------------
Batman's equation:
(1) +d+-+d%5B1%5D+=+95t+
Flashes equation:
(2) +d+=+250t+
-------------------------
(1) +d+-+411.667+=+95t+
(1) +250t+-+411.667+=+95t+
(1) +155t+=+411.667+
(1) +t+=+2.656+ hrs
It takes Flash 2.656 hrs to catch Batman
-----------------------------------------
check answer:
(2) +d+=+250t+
(2) +d+=+250%2A2.656+
(2) +d+=+664+
and
(1) +d+-+411.667+=+95t+
(1) +d+-+411.667+=+95%2A2.656+
(1) +d+=+252.32+%2B+411.667+
(1) +d+=+663.987+
close enough
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