Distance question

Question

An airplane travels
2764km
against the wind in
4
hours and
3364km
with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

 

Answer 1

distance = rate*time

d = rt  

r = d/t

 

Rate with wind:  plane speed + wind speed = p+w

Rate against wind:  plane speed - wind speed = p-w

 

p+w = 3364/4

p-w = 2764/4

 

We want to find plane speed p and wind speed w

 

p+w = 841

p-w = 691    add equations

---------------

2p = 1532

p = 766 kph

 

p+w = 841

w = 841-p

w = 841-766

w = 75 kph