If the rate at which the Moon is moving away from Earth remains approximately constant at 4 cm per year, how long will it take for the distance between Earth and the Moon to increase by 10%?

Question

Quizplus · Accepted Answer

The current average distance from the Earth to the Moon is about 384,400 km. A 10% increase in this distance would be approximately 38,440 km. Since the Moon is moving away at a rate of 4 cm per year, it would take about 1 billion years to move 38,440 km (38,440,000 meters / 0.04 meters/year = 961,000,000 years, which rounds to approximately 1 billion years).

If the Rate at Which the Moon Is Moving Away