During 24 hours a radio station spends 1/5 of the time playing rock music,2/3 playing hip hop, and the rest playing dance music. How much time is spent playing dance music?

is spent playing dance music.

Step-by-step explanation:

Given: During hours a radio station spends of the time playing rock music, playing hip hop, and the rest playing dance music.

To find: How much time is spent playing dance music?

Solution:

We have,

Radio station spends of the time playing rock music.

Radio station spends of the time playing hip hop.

Radio station spends rest of the time playing dance music.

So,

Time spend on playing rock music

Time spend on playing hip hop

Now, total time radio station spends on all the three music is hours.

Therefore, rest of the time

It is given that in the rest of the time, the radio station plays dance music.

Hence, is spent playing dance music.