SOLUTION: How do I solve by using a system of two equations in two variables?
A duck can fly 2400 m in 10 min with the wind. Against the wind, it can fly only two thirds of this distance
Algebra.Com
Question 141089This question is from textbook Prentice hall algebra 1
: How do I solve by using a system of two equations in two variables?
A duck can fly 2400 m in 10 min with the wind. Against the wind, it can fly only two thirds of this distance in 10 min. How fast could the duck fly in still air? What is the rate of the wind?
This question is from textbook Prentice hall algebra 1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I solve by using a system of two equations in two variables?
A duck can fly 2400 m in 10 min with the wind. Against the wind, it can fly only two thirds of this distance in 10 min. How fast could the duck fly in still air? What is the rate of the wind?
------------------------------------------------
Let still wind rate be "s"; Let wind rate to "w".
-----------------------------
EQUATIONS:
s + w = 2400 meter/10 min = 240 meters / minute
s - w = (2/3)2400 meter/10min = 160 meters/ minute
--------------------------
2s = 400 meters/min
s = 200 meters/min (duck in still air speed)
--------------------
Substitute to solve for "w":
200 + w = 240
w = 40 meters/ min (wind speed)
=============
Cheers,
Stan H.
RELATED QUESTIONS
A duck can fly 1800 m in 10 min with the wind. Against the wind, it can fly only 2/3 of... (answered by mananth)
A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3... (answered by checkley77,JimboP1977)
Solve the problem by using two equations with two variables:
A twin-engined aircraft... (answered by scott8148)
How do I solve using a system of two equations in two variables?
With the wind, a... (answered by ankor@dixie-net.com)
How do I solve using a system of two equations in two variables?
When a plane flies... (answered by stanbon,vleith,scott8148)
a certain aircraft can fly 1600 miles with the wind in 5 hours and travel the same... (answered by mananth)
How do I solve using a system of two equations in two variables?
When Lucy swims with... (answered by stanbon)
A jet can fly 550mph in calm air. Traveling with the wind, the jet can fly 2400 miles in... (answered by mananth)
Use two equations in two variables to solve the application.
With the wind, a plane... (answered by ikleyn)