To determine how long it will take for the second jet to overtake the first jet, we need to calculate the time it will take for the distance between them to be equal.
Let's assume that it takes the second jet, which is traveling at 800 km/hr, time "x" to overtake the first jet.
In the time it takes the second jet to overtake the first jet, the first jet will have already traveled. The distance traveled by the first jet can be calculated using the formula: distance = speed × time.
Since the first jet is traveling at a steady rate of 600 km/hr and it has a head start of 3/4 hr, its travel time will be x + 3/4 hr.
Therefore, the distance traveled by the first jet can be represented as: distance = speed × time = 600 km/hr × (x + 3/4 hr).
The second jet, traveling at 800 km/hr, will need to cover the same distance as the first jet to overtake it. So, the distance traveled by the second jet can be represented as: distance = speed × time = 800 km/hr × x.
Now, we can equate the distances traveled by the two jets: 600 km/hr × (x + 3/4 hr) = 800 km/hr × x.
Simplifying this equation, we have: 600x + 450 = 800x.
To solve for x, we subtract 600x from both sides and divide both sides by 200: 450 = 200x.
Dividing 450 by 200, we find x = 2.25 hours.
Therefore, it will take the second jet 2.25 hours to overtake the first jet.