# math

When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and the speed of the wind.

1. 0
2. 4
1. speed of plane in still air --- x km/h
speed of wind ---- y km/h

speed of plane with the wind --- x+y km/h
speed of plane against the wind -- x-y km/h

first fact:
5(x+y ) = 3000
x+y = 600 #1 equation
second fact:
10(x-y) = 3000
x-y = 300 #2 equation

add #1 + #2, it becomes so easy.

1. 0
posted by Reiny
2. speed of a plane in still air is 450
speed of wind is 150

1. 0
posted by joy

## Similar Questions

1. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can
2. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can
3. ### Algebra

An airplane flies 3024 miles into the wind for 14 hours. The return trip takes 9 hours. Find the speed of the airplane without a wind and the speed of the wind.
4. ### Algebra 1

When a plane flies into the wind, it can travel 3000mi in 6 hr. When it flies with the wind, it can travel the same distance in 5 hr. Find the rate of the plane in still air and the rate of the wind.
5. ### Physics addition of velocities

A seagull flies at a velocity of 7.00 m/s straight into the wind. (a) If it takes the bird 17.0 min to travel 6.00 km relative to the earth, what is the velocity of the wind? (b) If the bird turns around and flies with the wind,
6. ### math

An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the
7. ### Math

an airplane travels 500 km with the wind in the same time that it takes the airplane to travel 400 km against the wind. the average speed of the plane in still air is 180 km/h. what is the average speed of the wind? Airplane with
8. ### Algebra 2

An airplane flies 1050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. Find the speed of the wind.
9. ### science

an airplane normally flies at 200 km/h, what is the resultant velocity of the plane if it experiences a 50 km/h tail wind, and a 50km/h head wind
10. ### Math

An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w equals the speed of the wind, which equation would be used to

More Similar Questions