Homework Help: Math

Posted by gagan on Thursday, January 22, 2009 at 9:30pm.

A small plane flying into the wind takes 3h 20 min to complete a flight of 960 km.Flying with the wind, the same plane takes 2h 30 min to make the trip. What is the speed of the plane? What is the speed of the wind?

can you plz help
thx I really am thankful to have found a forum that really cares. Thanks

Math - Reiny, Thursday, January 22, 2009 at 10:09pm
Let the speed of the plane with no wind be x km/h
let the speed of the wind be y km/h

then into the wind, the actual speed of the plane is x-y km/h
and 960/(x-y) = 10/3 which reduces to
x - y = 286 (31)

with the wind:
960/(x+y) = 5/2 which reduces to
x + y = 384 (#2)

add #1 and #2 to get 2x = 672
x = 336, subbing back I got y = 48

so the speed of the plane is 336 km/h
and the speed of the wind is 48 km/h

check: (10/3)(336-48) = 960
(5/2)(336+48) = 960

Answer this Question

Related Questions

Math - A small plane flying into the wind takes 3h 20 min to complete a flight ...
math - a small plane flying into the wind takes 3 hrs 20 min to complete a ...
math - a small plane flying into the wind takes 3 hrs 20 min to complete a ...
Math - Flying into the wind, a plane takes 8h to travel 5432 km from Paris to ...
Math - Flying into the wind, a plane takes 8 h to travel 5432 km from Paris to ...
algebra-word problem - Flying to Kampala with a tailwind a plane averaged 158 km...
Math Ms. Sue please help - Flying to Kampala with a tailwind a plane average ...
math - A plane flies the first half of a 5600 km flight into the wind in 3.5 ...
Algebra - Flying with the wind, a small plane flew 360 miles in 2hours. Against ...
Algebra - Flying with the wind, a small plane flew 360 miles in 2hours. Against ...

For Further Reading

First Name:
School Subject:
Answer: