Darrin left an airport flying at 500 km/h. One hour later, Grant left the same airport, traveling in the same direction at 700 km/h. How long did it take Grant to catch up to Darrin?

2.5 hours

Step-by-step explanation:

Rember the equation, Time * Speed = Distance,

or for simplicity, T * S = D.

It is known that:

Grants's speed = 700 km/h

Grant's time = x (hours)

Darrin's speed = 500 km/h

Darrin's time = x +1 (hours)

*x+1 because Darrin left an hour before aGrant*

This mean's that

Darrin's distance: 500 km/h * (x+1) hours

Grant's distance: 700 km/h * x hours

Since they both have traveled the same distances then the equations will have to equal each other.

500km/h * (x+1) hours = 700 km/h * x hours

simplify and solve.

500x + 500 = 700x

500 = 200x

5/2 = x

2.5hours = x

rounding to the nearest thousandth would be 452,000