After raining for 3/4 of an hour a rain gauge is 2/5 filled if it continues to rain at that rate for 15 more minutes. Wath fraction of the rain gauge will be filled
Accepted Solution
A:
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 hourThen, 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 gaugeIn 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.