SOLUTION: Jim is a paratrooper who has to land on a moving aircraft carrier. If his plane is flying with 90 miles per hour, he will be an hour early for the intercross. If his plane travels

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Question 1050247: Jim is a paratrooper who has to land on a moving aircraft carrier. If his plane is flying with 90 miles per hour, he will be an hour early for the intercross. If his plane travels at a speed of 80 miles per hour, he will be an hour late for landing on the ship. How long is Jim’s scheduled flight-time?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Jim's schedualed flight
time in hrs
Let +d+ = his distance to the carrier
--------------------
(1) +d+=+90%2A%28+t+-+1+%29+
(2) +d+=+80%2A%28+t+%2B+1+%29+
-------------------------
By substitution:
(2) +90%2A%28+t-1+%29+=+80%2A%28+t%2B1+%29+
(2) +90t+-+90+=+80t+%2B+80+
(2) +10t+=+170+
(2) +t+=+17+
The schedualed flight time is 17 hrs
---------------------------------
check:
(1) +d+=+90%2A%28+t+-+1+%29+
(1) +d+=+90%2A%28+17+-+1+%29+
(1) +d+=+90%2A16+
(1) +d+=+1440+
and
(2) +d+=+80%2A%28+t+%2B+1+%29+
(2) +d+=+80%2A%28+17+%2B+1+%29+
(2) +d+=+80%2A18+
(2) +d+=+1440+
OK