Question

The aeroplane flies from A to B at the rate of 500 km/ hour and comes back from B To A at the ratr of 700 km / hour the avetage speed of aeroplane is....
..?

Answer 1

Solution:-
From A to B
Let the time be x
Speed=500km/h
Distance=500x km

From B to A

Let the time be m
Speed=700km/h
Distance=700m km

We can say that,
Distance=Distance
i.e, 500x=700m
$x = \frac{7}{5} m$
Now,
Average speed=Total distance travelled/total time taken
$= \frac{500x + 700m}{x + m}$
by putting the value of x here,we get,
$= \frac{500( \frac{7}{5} m) + 700m}{ \frac{12m}{x} }$
$= \frac{1400m}{ \frac{12m}{5} }$
$= \frac{7000}{12} \\ = 583.33km \: per \: hours$