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

Answer:

$x=3280$

Step-by-step 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

$t1=\frac{x}{820}$

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

Time taken for this is ,

$t2=\frac{x}{656}$

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

t2=t1+1,

$\frac{x}{656}=\frac{x}{820}+1$

$\frac{x*820}{656} =x+820$

$x=3280$