A plane flies 552km downwind. During the round-trip flight, the plane flies 5.5h downwind and 6h upwind. What is the wind speed of this flight?

A plane flies 552km downwind. During the round-trip flight, the plane flies 5.5h downwind and 6h upwind. What is the wind speed of this flight?

twenty-four
Let X be the wind speed
(552+x)*5.5=(552-x)*6
5.5*552+5.5x=552*6-6x
11.5x=552*(6-5.5)
11.5x=276
x=24

A plane flies 90 kilometers an hour with the wind. Today, it takes three hours more to set out for a place with the wind to return against the wind
The headwind speed is 75 kilometers per hour. How many hours does it take to find out?
No equations

It takes x hours to go
90x=75(x+3)
90x-75x=225
15x=225
x=15
Proportion method:
The speed ratio is 90:75 = 6:5
So the time ratio is 5:6
The time to go is: 3 ÷ (6-5) X5 = 15 (hours)

The fuel carried by an aircraft can fly for up to 6 hours. For flight training, when going downwind, it can fly 1500 kilometers per hour; when returning upwind, it can fly 1200 meters per hour. How long does the aircraft have to fly back at most?

If the speed ratio is 1500:1200 = 5:4, then the time ratio is 4:5, 6 × 45 + 4 = 6 × 49 = 83 (hours). A: if the aircraft flies for 83 hours at most, it has to fly back

The fuel carried by an aircraft can fly for up to 6 hours. For flight training, when going downwind, it can fly 1500 kilometers per hour; when returning upwind, it can fly 1200 meters per hour. How long does the aircraft have to fly back at most?

If the speed ratio is 1500:1200 = 5:4, then the time ratio is 4:5, 6 × 45 + 4 = 6 × 49 = 83 (hours). A: if the aircraft flies for 83 hours at most, it has to fly back