Question

Joe traveled against the wind in a small plane for 3.2 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane is still air is 170 mph.

Answer 1

Step-by-step explanation:

Let speed of wind is x mph against the wind speed of plane will be (170-x) mph so distance traveled in 3.2 hours will be 3.2*(170-x) miles in return trip

Answer 2

Answer:

Speed (s)=170 miles/hr

Let distance (d) be x and speed of wind be y.

Case 1:-

Time=3.2 hr

s=d/Time

170-y=x/3.2

(170-y)/3.2=x

Case 2:-

Time=2.8 hr

s=d/Time

170+y=x/2.8

(170+y)/2.8=x

10(170+y)/28=10(170–y)/32 [x=x]

32(170+y)=28(170-y)

5440+32y=4760–28y

5440–4760=32y-28y

680=4y

680/4=y

y=170 Ans.