SOLUTION: A united airline jet leaves new york's kennedy airport headed to los angeles international airport, a distance of 2700 miles. at the same time, a delta airline jet leaves the los a

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Question 191000: A united airline jet leaves new york's kennedy airport headed to los angeles international airport, a distance of 2700 miles. at the same time, a delta airline jet leaves the los angeles airport headed for kennedy airport. due to headwinds and tailwinds, the united jet average speed is 100 miles per hour greater than that of the delta jet. if the two jets pass one another after 3 hours, find the speed of each plane?
Answer by ankor@dixie-net.com(22740) (Show Source):
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A united airline jet leaves new york's kennedy airport headed to los angeles international airport, a distance of 2700 miles. at the same time, a delta airline jet leaves the los angeles airport headed for kennedy airport. due to headwinds and tailwinds, the united jet average speed is 100 miles per hour greater than that of the delta jet. if the two jets pass one another after 3 hours, find the speed of each plane?
:
Let s = speed of Delta jet
then
(s+100) = speed of UA jet
:
We know when the jets meet they will have traveled a total of 2700 mi
Use this fact to write a distance equation: Dist = time * speed
:
Delta dist + UA dist = 2700 mi
3s + 3(s+100) = 2700
:
3s + 3s + 300 = 2700
:
6s = 2700 - 300
:
6s = 2400
s =
s = 400 mph is the Delta
and
400 + 100 = 500 mph is the UA jet
:
:
Check solutions
3(400) + 3(500) = 2700 mi