SOLUTION: A pilot flies a jet 6000 miles. He states that to reduce the flight time by 1 hour he would need to increase his speed by 200 mph. What is the speed of the jet

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Question 958231: A pilot flies a jet 6000 miles. He states that to reduce the flight time by 1 hour he would need to increase his speed by 200 mph. What is the speed of the jet
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = his normal speed
Let +t+ = his normal time
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(1) +6000+=+s%2At+
(2) +6000+=+%28+s+%2B+200+%29%2A%28+t+-+1+%29+
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(1) +t+=+6000%2Fs+
and
(2) +6000+=+s%2At+%2B+200t+-+s+-+200+
(2) +6200+=+s%2A%28+6000%2Fs+%29+%2B+200%2A%28+6000%2Fs+%29+-+s+
(2) +6200+=+6000+%2B+1200000%2Fs+-+s+
(2) +200+=+1200000%2Fs+-+s+
(2) +200s+=+1200000+-+s%5E2+
(2) +s%5E2+%2B+200s+=+1200000+
(2) +s%5E2+%2B+200s+%2B+%28200%2F2+%29%5E2+=+%28+200%2F2+%29%5E2+%2B+1200000+
(2) +s%5E2+%2B+200s+%2B+10000+=+1210000+
(2) +%28+s+%2B+100+%29%5E2+=+1100+
(2) +s+%2B+100+=+1100+
(2) +s+=+1000+
The speed of the jet is 1000 mi/hr
check:
+t+=+6000%2Fs+
+t+=+6000+%2F+1000+
+t+=+6+
(2) +6000+=+%28+s+%2B+200+%29%2A%28+t+-+1+%29+
(2) +6000+=+%28+1000+%2B+200+%29%2A%28+6+-+1+%29+
(2) +6000+=+1200%2A5+
(2) +6000+=+6000+
OK