Question

An airliner can make a $3,000$ mile trip with tailwind (wind in the same direction as the airliner) in $4$ hours and make the return trip against the wind (with the same speed) in $4$ hours $48$ minutes ($4.8$ hours). Find the ground speed of the airliner.

Answer 1

Let us take the Speed of Airliner be $V_1$ and Speed of wind be $V_2$

$4(V_1+V_2)=3000$

$4.8(V_1-V_2)=3000$

solving We get,

$V_1=687.5mph,V_2=62.5mph$

Therefore Answer is $687.5$ $mph$