The rate of the jet is calculated by dividing the distance it travels by the time it takes, when it travels against a jetstream it covers a distance of 5416 miles in 8 hours, then by dividing 5416 miles by 8 hours we get:
[tex]\frac{5416}{8}=677[/tex]We got 677 miles/h, since this is the rate against the jetstream, it is calculated by subtracting the rate of the jetstream from the rate of the plane in still air, and the following equation can be formulated:
jr - sr = 677
Where jr is the jet rate in still air and sr is the stram rate. When it travels with the jetstream it reaches 6296 miles in 8 hours, then its rate is:
[tex]\frac{6296}{8}=787[/tex]This rate is calculated by adding the rate of the jet and the rate of the stream, and we can formulate the following equation:
jr + sr = 787
By adding these equation, we get:
jr - sr = 677
jr + sr = 787
jr + jr + sr - sr = 677 + 787
2jr =1464
jr = 1464/2 = 732
By replacing 732 for jr in jr + sr = 787, we can determine the stream speed like this:
732 + sr = 787
sr = 787 - 732
sr = 55
Then, the rate of the jet in still air is 732 miles/h and the rate of the jetstream is 55 mile/h
