Two jets leave an airport at the same time, flying in opposite directions. The first jet is traveling at three hundred seventy-seven mph and the other at two hundred seventy-five mph. How long will it take for the jets to be 9128 miles apart?
To find the time it takes for the jets to be 9128 miles apart, we need to use the formula:
distance = rate x time
Let's call the time it takes for the jets to be 9128 miles apart "t". Then we can write two separate equations for each jet:
distance traveled by first jet = rate of first jet x time
distance traveled by second jet = rate of second jet x time
Since the jets are flying in opposite directions, their distances are adding up to the total distance of 9128 miles:
distance traveled by first jet + distance traveled by second jet = 9128
Substituting in the given rates and our variable for time, we get:
377t + 275t = 9128
Simplifying and solving for t, we get:
652t = 9128
t = 14
Therefore, it will take 14 hours for the jets to be 9128 miles apart.
To calculate the time it will take for the jets to be 9128 miles apart, we can use the formula:
Distance = Speed * Time
Let's assign variables to the information given:
Speed of the first jet (A) = 377 mph
Speed of the second jet (B) = 275 mph
Total distance apart (D) = 9128 miles
Time taken (T) = unknown
Now, since the jets are flying in opposite directions, we can combine their speeds:
Relative speed = Speed of the first jet + Speed of the second jet
Relative speed = 377 mph + 275 mph
Relative speed = 652 mph
Plugging these values into the formula, we have:
Distance = Speed * Time
9128 miles = 652 mph * T
To solve for T, we divide both sides of the equation by 652 mph:
9128 miles / 652 mph = T
T ≈ 14 hours
Therefore, it will take approximately 14 hours for the jets to be 9128 miles apart.
To find out how long it will take for the jets to be 9128 miles apart, we can use the formula:
Distance = Rate × Time
Let's consider the distance covered by each jet as they move away from the airport. Since they are traveling in opposite directions, the distances covered by both jets will add up to the total distance of 9128 miles.
Let's label the time taken by the first jet as "t" and the time taken by the second jet as "t" as well (since they leave at the same time).
For the first jet:
Distance covered = Rate × Time
Distance covered by the first jet = 377 mph × t
For the second jet:
Distance covered = Rate × Time
Distance covered by the second jet = 275 mph × t
Since the total distance covered by both jets adds up to 9128 miles, we can set up the equation:
Distance covered by the first jet + Distance covered by the second jet = Total distance
377t + 275t = 9128
Now we can solve this equation to find the time (t) it takes for the jets to be 9128 miles apart:
377t + 275t = 9128
652t = 9128
Dividing both sides of the equation by 652:
t = 9128 / 652
t ≈ 14
Therefore, it will take approximately 14 hours for the jets to be 9128 miles apart.