Posted by Ru on Thursday, February 24, 2011 at 4:16pm.
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.

Algebra 1  Helper, Thursday, February 24, 2011 at 6:07pm
x = Rate without wind
y = Rate of the wind
T = D/R
6 = 3000/(x  y)
6(x  y) = 3000
6x  6y = 3000
5 = 3000/(x + y)
5(x + y) = 3000
5x + 5y = 3000
Solve simultaneously,
6x  6y = 3000
5x + 5y = 3000
5 *(6x  6y = 3000)= 30x  30y = 15,000
6 *(5x + 5y = 3000)= 30x + 30y = 18,000
30x  30y = 15,000
30x + 30y = 18,000
60x = 33,000
x = 550 rate of the plane in still air
5x + 5y = 3000
x = 550
5(550) + 5y = 3000
2750 + 5y = 3000
5y = 250
y = 50 rate of the wind
Answer This Question
Related Questions
 PreAlgebra  Question is: What is the algebraic equation to determine when they...
 PreAlgebra  Question is: What is the algebraic equation to determine when they...
 math  When an airplane flies with a given wind, it can travel 3000 km in 5hrs. ...
 algebra (21)  A polot flies 630 miles wit a tail wind of 35 miles per hour. ...
 math  A plane flies 540 miles for 2 hours in the direction of the wind. Then it...
 algebra  A plane takes 3 hours to travel 1500 miles with the wind. it can ...
 math  A plane flies the first half of a 5600 km flight into the wind in 3.5 ...
 Algebra 2  An airplane flies 1050 km with the wind. In the same amount of time...
 algebra  A jet flies with the wind at 1100 km/hr and 750 km/hr against the same...
 math  An airplane flying against the wind travels 100 miles in the same amount ...
More Related Questions