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 + (1)/(5) \\ \\ = 1 + 0.2 \\ \\ = 1.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/y5i2lyjewinns3znsuyofyt8jmkwo3bnzi.png)
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 = (525600)/(1.2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/py3bekmsv2416ur5dlol4dp49ymtodi3ak.png)
x = 438000
∴ 438,000 meteors fell during the Perseid shower.
For Leonid meteor shower:
![4 + (2)/(3) = 4.67](https://img.qammunity.org/2021/formulas/mathematics/high-school/jn3o2a5va3798evk04qe90dscewidj7php.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/jgqvoifdzb1gk5ydrkt0g0oejae9mhdk2w.png)
![x = (525600)/(4.67)](https://img.qammunity.org/2021/formulas/mathematics/high-school/18k1w1203ougpdgred16wxf5glejqri81h.png)
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