SOLUTION: An airplane can travel 450 miles into the wind in 2 hours and 25 minutes. This plane takes the same time to travel 630 miles with the wind. Find the speed of the airplane without a
Algebra.Com
Question 329025: An airplane can travel 450 miles into the wind in 2 hours and 25 minutes. This plane takes the same time to travel 630 miles with the wind. Find the speed of the airplane without any wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = wind speed
Let = speed of plane without wind
= speed of plane flying into wind
= speed of plane flying with the wind
given:
This is 2 equations with 2 unknowns so it's solvable
-------------------
Divide both sides of each by
add the equations
-------------------
mi/hr
and, since
mi/hr
The speed of the plane without wind is 223.445 mi/hr
check:
close enough
and
OK
RELATED QUESTIONS
An airplane traveling with the wind flies 450 miles in 2 hours. On the return trip, the... (answered by ankor@dixie-net.com)
An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane... (answered by Fombitz,jorel1380,ikleyn,josmiceli)
a plane takes 3 hours to travel 1,503 miles with the wind. It can travel only 1,179 miles (answered by ankor@dixie-net.com)
Can you please help me solve this word problem:
An airplane traveling at 450 mph... (answered by ankor@dixie-net.com)
an airplane takes 5 hours to travel a distance of 2800 miles with wind. The return trip... (answered by josmiceli)
An airplane takes 5 hours to travel a distance of 2800 miles with wind. The return trip... (answered by ikleyn)
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)
A plane flies 450 mi/h. It can travel 980 miles with a wind in the same amount of time as (answered by mananth)