Question

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 1

325,452 more meteors fell during the Perseid meteor shower

Explanation:

An year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in an year:

365*24*60 = 525600

Persoid:

`1 + (1)/(5) = 1 + 0.2 = 1.2`

One each 1.2 minutes. How many during an year?

1 meteor - 1.2 minutes.

x meteors - 525600 minutes.

`1.2x = 525600`

`x = (525600)/(1.2)`

`x = 438000`

438,000 meteors fell during the Persoid shower.

Leonid:

`4 + (2)/(3) = 4.67`

One each 4.67 minutes. How many during an year.

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

`4.67x = 525600`

`x = (525600)/(4.67)`

`x = 112548`

112,548 meteors fell during the Leonid Shower.

How many more meteors fell during the Perseid meteor shower?

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower