Answer:
[tex]\frac{8}{15}[/tex] part of rain gauge is filled after 1 hour.
Explanation:
Given:
After raining for [tex]\frac{3}{4}[/tex] of an hour a rain gauge is [tex]\frac{2}{5}[/tex] filled
To Find:
The fraction of the rain gauge that will be filled if it continues to rain at rate for 15 more minutes=?
Solution:
We know that, 15 minutes are [tex]\frac{1}{4}[/tex] of a hour
Then, we have to find the fraction of rain gauge filled after[tex]\frac{1}{4}[/tex] of hour more,
Then, we have to find after [tex]\frac{3}{4}[/tex] of hour + [tex]\frac{1}{4}[/tex] of hour is 1 hour.
Now, [tex]\frac{3}{4}[/tex] hour = [tex]\frac{2}{5}[/tex] of rain gauge
In 1 hour n of rain gauge is filled.
Then, n x [tex]\frac{3}{4}[/tex] = [tex]\frac{2}{5}[/tex] x 1
n = [tex]\frac{3}{4}[/tex]\times [tex]\frac{3}{4}[/tex]
n = [tex]\frac{8}{15}[/tex]
Hence, [tex]\frac{8}{15}[/tex] part of rain gauge is filled after 1 hour.
