SOLUTION: Please help me with this problem:
An airplane takes 5 hours to travel a distance of 3360 km with a tail wind.
The return trip against the wind takes 5 hours and 36 minutes. Fin
Algebra.Com
Question 22301: Please help me with this problem:
An airplane takes 5 hours to travel a distance of 3360 km with a tail wind.
The return trip against the wind takes 5 hours and 36 minutes. Find
the speed of the wind and the speed of the plane in still air. Assume that
both speeds are constant during the trip.
Thanks
Sandy
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
5.36----> = 5.60h
0.36/0.3 = 5.60
t = speed of plane
m = speed of wind
5(t+m)=3360 -------->5t+5m=3360------------->28(5t+5m=3360)
5.6(t-m)=3360 ------>5.6t-5.6m=3360--------->25(5.6t-5.6m-3360)
------>140t+140m=94080
------>140t-140m=84000
------>280t=178080
t=636
5(636+m)=3360
3180+5m=3360
5m=180
m=36
Hence, the speed of the plane is 636km/h and the speed of the wind is 36km/h.
RELATED QUESTIONS
Please help me solve this word problem:
An airplane can travel a distance of 6,000 km in (answered by Theo)
It takes an airplane 4 hours to travel 1000 miles with a tail wind. It takes the plane 5... (answered by math_helper,ikleyn)
MOTION PROBLEMS
Can you please help me solve this problem:
An airplane flew for 4... (answered by nerdybill)
I am really bad with math/word problems. This is the problem, can you please help me to... (answered by josgarithmetic)
I need help with this problem
An airplane takes 3 hours to travel a distance of 2160... (answered by Alan3354)
an airplane takes 5 hours to travel a distance of 4200 miles with the wind. The return... (answered by Boreal)
An airplane takes 3
hours to travel a distance of 1800
miles with the wind. The... (answered by ikleyn)
An airplane takes five hours to travel a distance of 3600 km against the wind. The return (answered by mananth,Alan3354)
Hi, please help me with this:
When an airplane flies with a given wind, it can travel... (answered by mananth)