SOLUTION: Respected Sir , Please help me to solve this question, I will be very grateful for your help An aeroplane flies from A to B at the rate of 500 km / hour and comes back from B t

Question 487749: Respected Sir ,
Please help me to solve this question, I will be very grateful for your help
An aeroplane flies from A to B at the rate of 500 km / hour and comes back from B to A at the rate of 700 km / hour. The average speed of the aeroplane is
As the answer given is : 583.33km per hour
Please help me to simplify this !!!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An aeroplane flies from A to B at the rate of 500 km / hour and comes back from B to A at the rate of 700 km / hour. The average speed of the aeroplane is
As the answer given is : 583.33km per hour
-----------------
A to B DATA:
rate = 500 km/hr ; time = x hrs ; distance = 500x km
----
B to A DATA:
rate = 700 km/hr ; time = y hrs ; distance 700y km
---
Equation:
distance = distance
500x = 700 y
x = (7/5)y
=====================
Average speed = total distance/total time
= (500x + 700y)/(x+y)
= (500(7y/5)+700y)/(12y/5)
= 1400y/(12y/5)
= 7000/12
= 583 1/3 km/hr
=====================
Cheers,
Stan H.
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