Question

Eddie listened to 3/4 of a podcast in 5/6 hour. Art this rate, how long will it take Eddie to listen to the whole podcast

Answer 1

rate equal podcast/hour

rate times time=number of podcasts...

(3t/4)/(5/6)=1

(3t/4)*(6/5)=1

18t/20=1

18t=20

t=10/9

t=1 1/9 hour

Answer 2

It will take Eddie 1
`(1)/(9)` hour to listen to the whole podcast.

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

`(3)/(4)` × x =
`(5)/(6)` × 1

`(3x)/(4)` =
`(5)/(6)`

cross-multiply

18 x = 20

Divide both-side of the equation by 18

`(18x)/(18)` =
`(20)/(18)`

(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 =
`(20)/(18)`

`(20)/(18)` can be reduce to its lowest term, hence;

x =
`(10)/(9)`

x = 1
`(1)/(9)` hour

Therefore, it will take Eddie 1
`(1)/(9)` hour to listen to the whole podcast.