SOLUTION: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, wha

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Question 77155: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
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You can probably do this in your head 480/(560-480) = 6 hrs
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An algebra way:
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Find the speed first, then it's a simple matter to find the time:
Let s = constant speed:
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Write a time equation Time = distance/speed:
:
560 mi time - 480 mi time = 1
560%2Fs - 480%2Fs = 1
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Multiply equation by s:
560 - 480 = s
s = 80 mph is the constant speed
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480/80 = 6 hrs on the 2nd portion
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Check by finding the distance:
1st: 7 * 80 = 560
2nd: 6 * 80 = 480