SOLUTION: A six passenger airplane cruises at 180 mph in the calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is

Question 329126: A six passenger airplane cruises at 180 mph in the calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
The trick to these rate roblems is to read them carefully.
Note that it says, "the plane can fly 7 miles with the wind IN THE SAME AMOUNT OF TIME as it can fly 5 miles against the wind". By the statement, "in the same amount of time", it tells use we want to solve d=rt for t=d/r and set one time equal to the other.
We are asked to find the wind rate, so we know that r must appear in the equation.
It flies 5 miles against the wind in 5/(180-r) hours.
It flies 7 miles with the wind in 7/(180+r) hours.
The problem says these are equal, so we have:

mph for the wind rate.
RELATED QUESTIONS
. Big plane. A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7... (answered by checkley71)

a six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by Paul)

A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the (answered by ptaylor)

A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the (answered by solver91311,nyc_function)

A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by Fombitz)

A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by mananth)

A six-passenger plane cruises at 180 mph in calm air. If thr plane fies 7 miles with the... (answered by checkley71)

A 6 passenger plane cruises at 180 mph in calm air,if the plane flies 7 miles with the... (answered by richwmiller)

A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the (answered by richwmiller)