SOLUTION: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against
Algebra.Com
Question 969855: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
----
With wind DATA:
rate = 300+w ; distance = 600 miles ; time = d/r = 600/(300+w)
------
Against wind DATA:
rate = 300-w ; distance = 400 miles ; time = d/r = 400/(300-w)
--------------------
Equations:
time = time
600/(300+w) = 400/(300-w)
600*300 - 600w = 400*300 + 400w
----
1000w = 60000
w = 60 mph (speed of the wind)
-----------
Cheers,
Stan H.
-----------------
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
***
let c=speed of the wind
300+c=speed of plane with the wind
300-c=speed of plane against the wind
travel time=distance/speed (same for both directions of travel)
..
400(300+c)=600(300-c)
120000+400c=180000-600c
1000c=60000
c=60
speed of the wind=60 mph
RELATED QUESTIONS
A plane has a cruising speed of 300
miles per hour when there is no wind. At this speed, (answered by macston)
A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed,... (answered by josgarithmetic)
A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed,... (answered by jorel555)
A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed,... (answered by KMST)
A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed,... (answered by Alan3354)
A plane has a cruising speed of
200
miles per hour when there is no wind. At this... (answered by lwsshak3)
A plane has a cruising speed of
250
miles per hour when there is no wind. At this... (answered by jorel555)
A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed,... (answered by Boreal,ikleyn)
A plane has a cruising speed of 150 mph when there is no wind. At this speed, the plane... (answered by josgarithmetic,ikleyn,MathTherapy)