In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 meteors
Step-by-step explanation:
We all know that :
We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes
SO, the total number of minutes in a year is :
365 × 24 × 60 = 525600 minutes
For Perseid meteor:
![1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2](https://tex.z-dn.net/?f=1%20%2B%20%5Cfrac%7B1%7D%7B5%7D%20%20%5C%5C%20%5C%5C%20%3D%201%20%2B%200.2%20%5C%5C%20%20%5C%5C%20%3D%201.2)
So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :
1 meteor - 1.2 minutes.
x meteor - 525600 minutes.
1.2x = 525600
![x = \frac{525600}{1.2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B525600%7D%7B1.2%7D)
x = 438000
∴ 438,000 meteors fell during the Perseid shower.
For Leonid meteor shower:
![4 + \frac{2}{3} = 4.67](https://tex.z-dn.net/?f=4%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%3D%204.67)
So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
![4.67x = 525600](https://tex.z-dn.net/?f=4.67x%20%3D%20525600)
![x = \frac{525600}{4.67}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B525600%7D%7B4.67%7D)
x = 112548
112,548 meteors fell during the Leonid Shower.
Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower