The moon takes approximately 27.3 days to orbit the Earth once. Therefore, in 30 days, it will orbit the Earth approximately 30 / 27.3 = 1.0989 times.

The distance covered by the moon in one orbit is the circumference of the moon's orbit, which can be calculated as 2 × π × the moon's average distance from the Earth. The average distance from the Earth is about 238,855 miles.

Therefore, the distance covered by the moon in one orbit is:

2 × π × 238,855 miles = 1,499,701.6 miles (rounded to the nearest tenth)

Multiplying this by the number of orbits in 30 days gives:

1.0989 × 1,499,701.6 miles = 1,648,983.8 miles (rounded to the nearest tenth)

Therefore, the closest option to the distance covered by the moon in 30 days is (C) 1600000 miles.

sorry i cant understand it. can someone explain again?

As the moon orbits the earth at the speed of 2,200 miles per hour,
→ 2,200 miles travelled in 1 hour
Means to figure out the distance travelled in 30 days,
Let us figure out the time in hours.
As 1 day has 24 hours.
→ 30 𝑑𝑎𝑦𝑠 = 30 × 24 ℎ𝑜𝑢𝑟𝑠.
Using the concept of unitary method,
Distance travelled by the moon in 30 𝑑𝑎𝑦𝑠 𝑜𝑟 30 × 24 ℎ𝑜𝑢𝑟𝑠
= 2,200 × 30 × 24
= 1,584,000 𝑚𝑖𝑙𝑒𝑠
Hence, approximately the distance covered by the moon in miles will be closest to
1,600,000 𝑚𝑖𝑙𝑒𝑠.
Ans. (C)

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