Question

A plane leaves the Newberry airport, traveling due north at a rate of 900 kilometers per hour. At the same time, another plane departs from the same airport and travels due south at a rate of 1,200 kilometers per hour. In how long will the planes be 600 kilometers apart?

Answer 1

it will take approximately 17.14 minutes for the two planes to be 600 kilometers apart.

Explanation:

1. Determine the relative speed:

Relative Speed = 900 km/h + 1,200 km/h = 2,100 km/h

2. Set up the equation using the formula Distance = Speed * Time:

600 km = 2,100 km/h * Time

3. Solve for Time by dividing both sides of the equation by 2,100 km/h:

Time = 600 km / 2,100 km/h

4. Simplify the expression:

Time ≈ 0.2857 hours

5. Convert hours to minutes by multiplying by 60:

Time ≈ 0.2857 hours * 60 minutes/hour

6. Calculate the result:

Time ≈ 17.14 minutes