Two asteroids are 1000 km apart and are heading straight for eachother. One asteroid is travelling at 59 km per second and the other at41 km per second. How long will it be before they collide?
Question
Two asteroids are 1000 km apart and are heading straight for eachother. One asteroid is travelling at 59 km per second and the other at41 km per second. How long will it be before they collide?
Solution
Step 1: Understand the problem Two asteroids are moving towards each other. One is moving at a speed of 59 km/s and the other at a speed of 41 km/s. They are currently 1000 km apart. We need to find out how long it will take for them to collide.
Step 2: Add the speeds of the two asteroids The asteroids are moving towards each other, so their speeds add up. 59 km/s + 41 km/s = 100 km/s
Step 3: Calculate the time it will take for them to collide The distance between the asteroids is 1000 km. They are moving towards each other at a combined speed of 100 km/s. Time = Distance / Speed Time = 1000 km / 100 km/s = 10 seconds
So, it will take 10 seconds for the two asteroids to collide.
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