SOLUTION: A plane travels 1050 miles with a tail wind in 2 hours and 30 minutes and returns in 3 houts and 30 minutes against the head wind. Find the speed of the plane in still air and the
Algebra.Com
Question 926215: A plane travels 1050 miles with a tail wind in 2 hours and 30 minutes and returns in 3 houts and 30 minutes against the head wind. Find the speed of the plane in still air and the wind velocity.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A plane travels 1050 miles with a tail wind in 2 hours and 30 minutes and returns in 3 hours and 30 minutes against the head wind. Find the speed of the plane in still air and the wind velocity.
***
let x=speed of plane in stll air
let c=speed of wind
x+c=speed of plane with tail wind
x-c=speed of plane with head wind
travel time=distance/speed
..
1050/(x+c)=2.5
1050/(x-c)=3.5
..
2.5x+2.5c=1050
3.5x-3.5c=1050
..
8.75x+8.75c=3675 (mult eq. by 3.5)
8.75x-8.75c=2625 (mult eq. by 2.5)
add
17.5x=6300
x=360
2.5c=1050-2.5x=1050-900=150
c=60
speed of plane in stll air=360 mph
speed of wind=60 mph
RELATED QUESTIONS
With a tail wind, a small plane traveled 420 miles in 1 hour and 30 minutes. The return... (answered by ewatrrr)
A plane makes a 240-mile trip against a head wind in 1 hour and 30 minutes and returns,... (answered by ewatrrr,htmentor)
with the tail wind a small airplane traveled 420 miles in 1 hour and 30 minutes the... (answered by Alan3354)
Please I need help! My question is:
With a head wind , an airplane travels 480 miles... (answered by richwmiller)
A plane makes a 240-mile trip against a head wind in 1 hour and 30 minutes and returns,... (answered by jim_thompson5910)
With a certain tail wind an airplane reached its destination, 630 miles away, in 1½... (answered by checkley77)
With a certain tail wind an airplane reached its destination, 630 miles away, in 1½... (answered by ankor@dixie-net.com)
With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail... (answered by Alan3354)
with a head wind , a plane traveled 1000 miles in 4 hours. with the same wind as the tail (answered by josmiceli,lwsshak3)