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

Answer:

It will take Eddie 1 $\frac{1}{9}$  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

$\frac{3}{4}$ ×  x   =  $\frac{5}{6}$ × 1

$\frac{3x}{4}$  =  $\frac{5}{6}$

cross-multiply

18 x = 20

Divide both-side of the equation by 18

$\frac{18x}{18}$  =  $\frac{20}{18}$

(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  =   $\frac{20}{18}$

$\frac{20}{18}$  can be reduce to its lowest term, hence;

x  =  $\frac{10}{9}$

x =  1 $\frac{1}{9}$  hour

Therefore, it will take Eddie 1 $\frac{1}{9}$  hour  to listen to the whole podcast.

Answer 2

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