On a no wind day, an airplane is flying 2000 miles round trip from Chicago to Boston and back to Chicago with a constant speed of 500 mph. About how long would it take to fly the same round trip if there is a wind speed of 100 mph from Chicago to Boston during the whole round trip flight?

It would take the plane about 4.17 hours to fly the whole round trip.

Step-by-step explanation:

Assuming that the distance from Chicago to Boston is 2000/2 = 1000 miles.

Since the wind is blowing from Chicago to Boston, when the plane is traveling to Boston, the velocity of the wind adds to the its velocity:

;

therefore, the time it takes for the plane to go from Chicago to Boston is

Now, as the plane flies back from Boston to Chicago, the wind is blowing opposite the direction of its movement; therefore, the wind's velocity subtracts from the velocity of the plane:

and the time taken during the trip is

Therefore, the total time taken during the whole round trip is

Therefore, on the windy day, it would take the plane 4.17 hours to fly the whole round trip

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %