Question

PLEASEEEE HELP!!!

Two alien spaceships start traveling toward each other from space stations that are 710,000 km apart. The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr. In how many hours will the two spaceships meet if the second spaceship is traveling at 90,000 km/hr?

Answer 1

The two spaceships will meet in 4 hours.

Step-by-step explanation:

We can start solving the problem using the formula for distance, velocity, and time which is

Distance = Velocity x Time

Let x be the number of hours it will take for the two spaceships to meet.

The distance that the first spaceship travels is 110,000 x x km

The distance that the second spaceship travels is 90,000 x (x+1) km, since the second spaceship started 1 hour later.

The total distance that the spaceships travel is equal to the distance between the space stations, so we can set up the equation:

110,000x + 90,000(x+1) = 710,000

Solving for x, we can find that x = 4 hours.

So the two spaceships will meet in 4 hours.

Answer 2

The two spaceships will meet in approximately 3.55 hours.

Step-by-step explanation:

To find the time it will take for the two spaceships to meet, we can use the formula:

Time = Distance / Relative Speed

The distance between the space stations is 710,000 km and the relative speed of the spaceships is the sum of their individual speeds, since they are traveling towards each other.

Relative Speed = Speed of spaceship 1 + Speed of spaceship 2

Substituting the given values:

Relative Speed = 110,000 km/hr + 90,000 km/hr = 200,000 km/hr

Now, the time can be calculated:

Time = 710,000 km / 200,000 km/hr = 3.55 hours

Therefore, the two spaceships will meet in approximately 3.55 hours.