7 home work

Question

An airplane flying with the wind can cover 620 miles in 2 hours. The return trip against the wind takes 212 hours.

What is the speed of the plane?
The speed of the plane is ______miles per hour.

What is the speed of the air?
The wind's speed is______ miles per hour.

Answer 1

I believe you mistyped the time it took for the return trip.

212 hours seems a bit excessive:

 

Distance = rate * time ...  d=rt

 

distance = 620 miles each way

rate with wind = p+w    plane speed plus wind speed

rate against wind = p-w   plane speed minus wind speed

 

With Wind:       620 = (p+w)(2)

Againsst Wind:  620 = (p-w)(??)

 

We have two equations

 

2P + 2w = 620

(??)p - (??)w = 620

 

Put in the correct time for return trip and solve the

simultaneous equations.