Dejavu0
contestada

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, how long is Shake It Off? Give your answer in minutes and seconds.

Respuesta :

3 minutes and 36 seconds is the length of "Shake it off" by Taylor swift.

Source: Wikipedia

Answer:

Givens:

  • Blank Space is 12 sec longer than Shake It Off.
  • The duration combined is 7 minutes and 30 seconds, which is 420 seconds.

Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be

[tex]B=12+S\\B+S=420[/tex]

Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:

[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]

Then, we replace this value into the first equation

[tex]B=12+S\\B=12+204=216[/tex]

This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.

Therefore, if we express in minutes and seconds, we would have:

[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \  24 sec[/tex]

[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36  sec[/tex]