SOLUTION: A jet travels 2064 miles against a jetstream in 3 hours and 2514 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate

Let u be the jet rate in still air (in miles per hour), and
let u be the jetstream rate.


Then the jet's effective speed flying with the jetstream is u+v miles per hour,
while its effective speed flying against the jetstream is u-v miles per hour.


From the condition, we have this system of equstions


    u + v = 2514/3 = 838  mph    (1)

    u - v = 2064/3 = 688  mph    (2)


To solve equations, add them. You will get


    2u = 838 + 688 = 1526;  hence  u = 1526/2 = 763  mph.


Then from equation (1),

    v = 838 - u = 838 - 763 = 75 mph.


ANSWER.  The jet rate in still air is 763 miles per hour;  the jeststream rate is 75 miles per hour.