TV commercials

For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the minutes of the actual program. Determine how many minutes of the program are shown in that one hour.

Result

x =  43.6 min

Solution:

a+b=60 a=38b  38b+b=60 b(1+38)=60 b=x=601+38=43.6 min  a=60b=16.36 mina+b=60 \ \\ a = \dfrac{ 3}{ 8} b \ \\ \ \\ \dfrac{ 3}{ 8} b + b = 60 \ \\ b(1+\dfrac{ 3}{ 8}) = 60 \ \\ b = x = \dfrac{60}{ 1+\dfrac{ 3}{ 8} } = 43.6 \ \text{min} \ \\ \ \\ a = 60 - b = 16.36\ min



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