SOLUTION: A private jet flies the same distance in 13 he's that a commercial jet flies in 9 he's.if the speed of the commercial jet was 110mph less than 2 times the speed of the private jet,

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Question 1042682: A private jet flies the same distance in 13 he's that a commercial jet flies in 9 he's.if the speed of the commercial jet was 110mph less than 2 times the speed of the private jet,find the speed of each j
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s%5B1%5D+ = the speed of the private jet in mi/hr
Let +s%5B2%5D+ = the speed of the commercial jet in mi/hr
given:
(1) +s%5B2%5D+=+2%2As%5B1%5D+-+110+
Let +d+ = distance flown by both planes
------------------------------------
(2) +d+=+s%5B1%5D%2A13+
(3) +d+=+s%5B2%5D%2A9+
------------------
From (2) and (3):
+13s%5B1%5D+=+9s%5B2%5D+
+s%5B2%5D+=+%2813%2F9%29%2As%5B1%5D+
-------------------
Plug this last result into (1)
(1) +s%5B2%5D+=+2%2As%5B1%5D+-+110+
(1) +%2813%2F9%29%2As%5B1%5D+=+2%2As%5B1%5D+-+110+
(1) +13s%5B1%5D+=+18s%5B1%5D+-+990+
(1) +5s%5B1%5D+=+990+
(1) +s%5B1%5D+=+198+
and
+s%5B2%5D+=+%2813%2F9%29%2As%5B1%5D+
+s%5B2%5D+=+%2813%2F9%29%2A198+
+s%5B2%5D+=+13%2A22+
+s%5B2%5D+=+286+
The speed of the private jet is 198 mi/hr
The speed of the commercial jet is 286 mi/hr
-----------------------
check:
(1) +s%5B2%5D+=+2%2As%5B1%5D+-+110+
(1) +286+=+2%2A198+-+110+
(1) +286+=+396+-+110+
(1) +286+=+286+
OK
(2) +d+=+s%5B1%5D%2A13+
(2) +d+=+198%2A13+
(2) +d+=+2574+
and
(3) +d+=+s%5B2%5D%2A9+
(3) +d+=+286%2A9+
(3) +d+=+2574+
OK