Answer :
Final answer:
The rate of the slower jet is 686 mph, and the rate of the faster jet is 761 mph.
Explanation:
Let's denote the rate of the slower jet as x mph. Since the other jet travels 75 mph faster, we can denote the rate of the faster jet as x + 75 mph.
Since the two jets are traveling in opposite directions, their distances are adding up. After 9 hours, the total distance they have traveled is 13,023 miles. We can use the formula distance = rate * time to set up an equation:
- (rate of slower jet)(time) + (rate of faster jet)(time) = 13,023
- Substituting the values we have:
x(9) + (x + 75)(9) = 13,023 - Simplifying the equation:
9x + 9(x + 75) = 13,023 - Expanding and combining like terms:
9x + 9x + 675 = 13,023 - Further simplifying:
18x + 675 = 13,023 - Subtracting 675 from both sides:
18x = 12,348 - Dividing both sides by 18:
x = 686
Therefore, the rate of the slower jet is 686 mph, and the rate of the faster jet is 686 + 75 = 761 mph.
Learn more about opposite directions here:
https://brainly.com/question/11259650
#SPJ11