Jacob can create an app in 24 hours, but if he works together with a friend they can create an app in 16 hours. How long would it take for his friend to create this app alone?

please help me!!

Respuesta :

znk

Answer:

48 h  

Step-by-step explanation:

Think of it this way.

Jacob can complete 1/24 of the app per hour. His friend can complete 1/x of the app. Together they complete the app in 16 h.

Jacob's portion +  friend's portion = 1

       16/24         +            16/x          = 1

        2/3           +             16/x         = 1        Multiply each side by 3

         2             +             48/x        = 3        Multiply each side by x

        2x             +            48           = 3x      Subtract 2x from each side

                                                    x = 48

It would take his friend 48 h to complete the app alone.

Check:

16/24 + 16/48 = 1

 ⅔     +   ⅓     = 1

          1           = 1

Thus, in 16 h, Jacob completes two-thirds of the app and his friend completes one-third.