A small plane can fly 2400 kilometers in 10 hours flying into the wind. With the wind behind it,the plane can fly 3200 kilometers in 10 hours. What is the speed of the wind and the speed of the plane?
2007-08-26 18:00:33 · 6 answers · asked by N/A 4 in Science & Mathematics ➔ Mathematics
First find out how far the plane goes in 1 hour rather than 10. So divide by ten each way to get 240 km and 320km. Then take the average of these two numbers which gives you 280 km. That is how far the plane can travel with no wind. Now either subtract 240 from 280 or 280 from 320, and you'll get the winds speed at 40 km/hr
2007-08-26 18:10:04 · answer #1 · answered by began91 2 · 1⤊ 0⤋
let the speed of plane be x km/h,
let the speed of wind be y km/h
flying into the wind is slower
x-y = 2400/10
flying with wind behind is faster
x+y = 3200/10
solve this pair of equation and you will get x = 280 and y = 40
hence speed of plane 280 km/h speed of wind 40km/h
now u get your answer vote this as best answer ! to reward me.
2007-08-26 18:10:59 · answer #2 · answered by Matthew N 5 · 1⤊ 0⤋
The plane speed is 240 km/h
The wind speed is 80 km/h
2007-08-26 18:09:33 · answer #3 · answered by haven_ly1 2 · 0⤊ 2⤋
d=rt
you already have distance and time.
your rate flying with the wind is p+w
your rate flying into the wind is p-w
2007-08-26 18:06:36 · answer #4 · answered by Paladin 7 · 1⤊ 0⤋
p + w = 320
p - w = 240
2p = 560
p = 280 km/h
w = 40 km/h
2007-08-26 18:12:19 · answer #5 · answered by Helmut 7 · 1⤊ 0⤋
v_p = 240 km/h
v_p + v_w = 320 km/h
v_w = 320 km/h - 240 km/h
v_w = 80 km/h
2007-08-26 18:06:53 · answer #6 · answered by de4th 4 · 0⤊ 2⤋