Question

An aircraft flew a distance of from Amsterdam to Cairo at an average speed of 820 km/h and returned non-stop by the same route at an average speed of 656 km/h. Given that the aircraft took 1 hour more for the return trip, calculate x

Answer 1

`x=3280`

Explanation:

Given that the distance from Amsterdam to Cairo is x.

It is given that first the aircraft flows with an average speed of 820 km/h.

Time taken to reach Cairo would be

`t1=(x)/(820)`

Without stop the aircraft would return back withan average speed of 656 km/h.

Time taken for this is ,

`t2=(x)/(656)`

Now its given that t2 is 1 hour more than t1.

t2=t1+1,

`(x)/(656)=(x)/(820)+1`

`(x*820)/(656) =x+820`

`x=3280`