High School

It takes one hour less than 2 days for a satellite to go around Earth.

How many weeks will it take for the satellite to go around Earth 23,988 times?

Calculate how many days and how many weeks this will be.

Estimate the number of years this will be to the nearest year.

Answer :

Final answer:

The process involves converting the orbit time to days, multiplying by the number of orbits to get total days, then converting to weeks and years, resulting in approximately 6,849.05 weeks or 131 years to complete 23,988 orbits.

Explanation:

To solve how many weeks it will take for the satellite to go around Earth 23,988 times, given that it takes nearly 2 days for a single orbit, we first calculate the total days taken for 23,988 orbits and then convert this into weeks and years.

  1. It takes 2 days - 1 hour = 47 hours for a single orbit. As there are 24 hours in a day, a single orbit is 47/24 days.
  2. For 23,988 orbits: 23,988 orbits × 47/24 days/orbit = 47,943.33 days.
  3. Convert days into weeks: 47,943.33 days ÷ 7 days/week = 6,849.05 weeks.
  4. Convert days into years: 47,943.33 days ÷ 365 days/year ≈ 131.34 years, estimated to 131 years for easier understanding.

The satellite will take approximately 6,849.05 weeks or 131 years to complete 23,988 orbits.