flying to denver with tailwind a plane averaged 166 mph. on the return trip the plane averaged 121 km/h while flying back into the same wind.

Question

flying to denver with tailwind a plane averaged 166 mph. on the return trip the plane averaged 121 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane with no wind

Answer 1

166+121)/2= 287/2= 143.5 average plane's speed, without wind

wind speed = 166-143.5 = 22.5 km/hr = wind speed

distance is the same each way, d=rt = rate of speed times time flying

d = 166t1 = 121t2

t1=`121 hours, t2 =166 hours, d= 20,086 km

(166-w)=p

w+121) = p

add

2p =287

p=287/2 = 143.5 km/hr

w = 166-143.5 = 22.5