With a tailwind, a plane flew 1650miles in 3 hrs. On the return flight against the same wind, the trip took 3 hours and 18 minutes. What is the speed of the plane? What is the speed of the wind?

Question

With a tailwind, a plane flew 1650miles in 3 hrs.  On the return flight against the same wind, the trip took 3 hours and 18 minutes.  What is the speed of the plane?  What is the speed of the wind?

dumbcow · Answer

d = rate*time

Let s be speed of plane, w the speed of wind
Note: 3 hr 18min = 3.3 hrs
1650 = 3(s+w)  --> 550 = s+w
1650 = 3.3(s-w) --> 500 = s-w

Add the equations
2s = 1050
s = 525

w = 550 - 525 = 25

Therefore, plane was going 525 mph, wind speed was 25mph

anonymous · Answer

Thank u! We just figured that out- but took a bit longer than u. :-)

dumbcow · Answer

:)