Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

An airplane flying with the wind takes 2 hours to travel a distance
An airplane flying with the wind takes 2 hours to travel a distance of 540 miles. The return trip takes 3 hours flying against the
wind. What is the speed of the airplane in still air and how fast is
the wind blowing?
Answer:
The speed of the airplane in still air is____
miles per
hour.
The wind speed is
miles per hour. ____
Round your values to the nearest whole number.

Sagot :

sqdancefan

9514 1404 393

Answer:

  • airplane: 225 mph
  • wind: 45 mph

Step-by-step explanation:

The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.

The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.

Let a and w represent the speeds of the airplane and wind, respectively.

  a + w = 270 . . . . speed with the wind

  a - w = 180 . . . . speed against the wind

  2a = 450 . . . . . . sum of the two equations

  a = 225 . . . . . . divide by 2

  w = a -180 = 45

The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.