Question

on the album "1989" by Taylor Swift, Blank Space is 12 seconds longer than Shake It Off. If the combined time of the two songs is 7 minutes and 30 seconds, now long is Shake It off? Give your answer in minutes and seconds.

Answer 1

Shake it off it 7 minutes and 18 seconds long

Explanation:

Given :

Blank Space is 12 seconds longer than Shake It Off.

The combined time of the two songs is 7 minutes and 30 seconds.

To Find : The time of shake it off song

Solution :

Since the combined time = 7 minutes and 30 seconds.

Since 1 minute = 60 seconds

So, 7 minutes = 60*7= 420 second

So, 7 minutes 30 seconds = 420+30 = 450 seconds

So, the combined time = 450 seconds

Since blank space is 12 seconds longer.

So, length of shake it off song = 450-12 =438 seconds.

Since 60 seconds = 1 minute

So, 1 second =
`(1)/(60)`

So, 438 second =
`(438)/(60) = 7.3 minutes`

Since 1 minute = 60 seconds

So, 0.3 minutes = 0.3*60 =18 seconds

Thus 438 seconds = 7 minutes and 18 seconds.

Hence , Shake it off it 7 minutes and 18 seconds long

Answer 2

3 minutes and 39 seconds.

Explanation:

Let x be the length of blank space and y be the length of shake it off.

We have been given that on the album "1989" by Taylor Swift, Blank Space is 12 seconds longer than Shake It Off. We can represent this information as:

`x=y+12...(1)`

We are also told that the combined time of the two songs is 7 minutes and 30 seconds.

1 minute = 60 seconds.

7 minutes = 60*7 seconds = 420 seconds

7 minutes and 30 seconds = (420+30) seconds = 450 seconds.

We can represent this information as:

`x+y=450...(2)`

We will use substitution method to solve our system of equations. Upon substituting equation (1) in equation (2) we will get,

`y+12+y=450`

`y+12+y-12=450-12`

`y+y=450-12`

`2y=438`

Let us divide both sides of our equation by 2.

`(2y)/(2)=(438)/(2)`

`y=219`

Now let us convert our answer in minutes and seconds.

219 seconds = 3 minutes and 39 seconds.

Therefore, Shake it off is 3 minutes and 39 seconds long.