SOLUTION: A plane with the wind traveled 855 miles at 143mph. flying against the wind at the same rate of speed it traveled 575 miles. Find the rate of the wind and the time it took to tra
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Question 240857: A plane with the wind traveled 855 miles at 143mph. flying against the wind at the same rate of speed it traveled 575 miles. Find the rate of the wind and the time it took to travel in either direction.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane with the wind traveled 855 miles at 143mph.
flying against the wind at the same rate of speed it traveled 575 miles.
Find the rate of the wind and the time it took to travel in either direction.
:
Let w = rate of the wind
then
(143-w) = plane speed against the wind
and
(143+w) = plane speed with the wind:
:
Assume that the time for each trip was equal; write a time equation: Time = dist/speed
:
=
Cross multiply
575(143+w) = 855(143-w)
;
82225 + 575w = 122265 - 855w
:
575w + 855w = 122265 - 82225
:
1430w = 40040
w =
w = 28 mph is the rate of the wind
:
:
Find the time:
= 5 hrs
Check solution:
= 5 hrs also
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