SOLUTION: Please help me answer this question, I have mid year exams this week and this is the only problem I'm stuck on! Thank you! "With a headwind, a plane traveled 1000 miles in 4 hours

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Question 395743: Please help me answer this question, I have mid year exams this week and this is the only problem I'm stuck on! Thank you!
"With a headwind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind the return trip took 3 hours and 20 minutes. Find the plane's speed and the wind speed."
I started the problem, with:
p+w=200
p-w=240
and got p=220, but I'm not sure if thats correct, then from there I'm not sure how to continue.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

D = r*t  OR r = D/t

Note 3hr 20 min = 3 1/3 hr = 10/3hr

Great Set Up using the p + w and p - w

 p + w = 1000mi/10/3hr

 p - w = 1000mi/4hr

 p + w = 300mph

 p - w = 250mph

   2p = 550mph

    p = 275mph, planes' speed

 275 + w = 300

       w = 25mph, wind speed



CHECKING our Answer

  275mph + 25mph = 300mph