Answer:
It will take Eddie 1 [tex]\frac{1}{9}[/tex] hour to listen to the whole podcast.
Step-by-step explanation:
To solve this problem, we will follow the steps below;
Using proportion to solve;
Let x be the time taken to listen to the whole podcast
3/4 podcast = 5/6 hour
1 podcast = x
Cross -multiply
[tex]\frac{3}{4}[/tex] × x = [tex]\frac{5}{6}[/tex] × 1
[tex]\frac{3x}{4}[/tex] = [tex]\frac{5}{6}[/tex]
cross-multiply
18 x = 20
Divide both-side of the equation by 18
[tex]\frac{18x}{18}[/tex] = [tex]\frac{20}{18}[/tex]
(On the left-hand side of the equation, 18 at the numerator will be divided by 18 at the denominator, while On the right-hand side of the equation 20 will be divided by 18)
x = [tex]\frac{20}{18}[/tex]
[tex]\frac{20}{18}[/tex] can be reduce to its lowest term, hence;
x = [tex]\frac{10}{9}[/tex]
x = 1 [tex]\frac{1}{9}[/tex] hour
Therefore, it will take Eddie 1 [tex]\frac{1}{9}[/tex] hour to listen to the whole podcast.
