Question

An aircraft, used for fire spotting, flies from its base to locate a fire at an unknown distance, x km away. It travels straight to the fire and back, averaging 240 km/h for the outward trip and 320 km/h for the return trip. If the plane was away for 35 minutes, find the distance, x km.

Answer 1

we have 2 elements here
1)departure element s= v=x/t(1)
2)arrival elements = v`=x`/t`(2)

v=240 km/h
v`=320 km/h

t+t`=35 min = 35/60 hour

x=x` ( it means the distance is the same )

as we named the formulas (1) and (2) see below

(1)+(2) = v+v` = x/t+x/t` = xt`+xt / t.t` = x( t+t`) / t.t` ====> x . 35/60 / t.t` = 560

==> x / t.t` = 960 ==> v / t` = 960 ==> t` = v / 960==> t`=0.25

you have t` and also v` right now so you can calculate the x


v`=x/t` ==> x = t`v`==> x = 320 * 0.25 = 80 km

Answer 2

Yw :)

Answer 3

@jenbubbly

Answer 4

THANK YOU so much @alivejeremy

Answer 5

Yw :)))