An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

(1)

Against wind

(2)

Where:

- Travelled distance, measured in miles.

, - Time, measured in hours.

- Wind speed, measured in miles per hour.

- Jet speed relative to wind, measured in miles per hour.

If we know that , , , then the speed of the jet with no wind is:

(3)

(4)

From (3), we find that speed of the jet with no wind is:

The speed of the jet with no wind is 240 miles per hour.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.