2 jets leave airport at 3pm, one traveling east other west. The westbound jet averages 625km/h and the eastbound jet 825 km/h. At what time will the jets be 725 apart?
You are going to use
D = R x T , (distance = rate x time)
They both travel for t hours
distance of the westbound plane = 625t
distance of the eastern plane = 825t
but 625t + 825t = 725
carry on ....
To find the time at which the jets will be 725 km apart, we need to determine how long it takes for the distance between them to be 725 km when they are moving in opposite directions.
Let's assume the time it takes for the jets to be 725 km apart is "t" hours.
At 3 pm (the starting time), the jets are initially 0 km apart.
The westbound jet is traveling at an average speed of 625 km/h, so it covers a distance of 625t km after t hours.
Similarly, the eastbound jet is traveling at an average speed of 825 km/h, so it covers a distance of 825t km after t hours.
The total distance between the jets after t hours is given by:
625t + 825t = 725 km
Simplifying the equation:
1450t = 725 km
Dividing both sides by 1450:
t = 725 km / 1450
t = 0.5 hours
Therefore, it will take 0.5 hours for the jets to be 725 km apart.
To find the time at which they will be 725 km apart, we add this time to the initial time of 3 pm:
3 pm + 0.5 hours = 3:30 pm
So, the jets will be 725 km apart at 3:30 pm.
To find the time at which the jets are 725 km apart, we need to determine the time it takes for them to cover a total distance of 725 km.
Let's set up an equation to calculate this:
Distance = (Speed of Jet 1 × Time) + (Speed of Jet 2 × Time)
Given:
Speed of Jet 1 (westbound jet) = 625 km/h
Speed of Jet 2 (eastbound jet) = 825 km/h
Total Distance = 725 km
Using the equation:
725 = (625 × Time) + (825 × Time)
To solve for Time, let's combine the like terms on the right side of the equation:
725 = (625 + 825) × Time
725 = 1450 × Time
Now, divide both sides of the equation by 1450:
725 ÷ 1450 = Time
0.5 = Time
So the two jets will be 725 km apart after 0.5 hours, which is equivalent to 30 minutes.
To find the time at which the jets will be 725 km apart, we need to add this time to the initial departure time of 3:00 pm.
Adding 30 minutes to 3:00 pm gives us 3:30 pm.
Therefore, the jets will be 725 km apart at 3:30 pm.