We need to use the next formula:
distance = rate * time
d = r * t
If one jet travels 75 mi/h faster than the other one:
Let r for the rate of the slower jet
Then, the rate of the faster jet is r+75mi/h
Where t = 3
d=4383
Then, for both jets:
4383 = (r*3)+ (r+75)*3
4383 = 3r + 3r+225
4383 = 6r + 225
Solve for r:
4383 - 225 = 6r
4158 = 6r
r = 4168/6
r = 693
Then, we can replace using the rate for both jets:
- Rate of faster jet = r + 75 = 693 + 75 = 768 mph
- Rate of the slower jet = r = 693 mph
We can confirm this if the sum of both distances is equal to 4383 miles.
d total = d1 +d2 = (r*3)+((r+75)*3) = (693*3)(768*3) = 2079 + 2304 = 4083 miles.
