Question

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

Answer 1

Answer:

48 hours

Step-by-step explanation:

Given that,

number of hours Jacob takes to create an app = 24 hours

number of hours both takes to create an app = 16 hours

To find,

number of hour Jacob's friend takes to create an app = x hours

Jacob create 1/24 part of app in an hour

Jacob's friend create 1/x part of app in an hour

Working together

1/24 + 1/x = (x + 24 / 24x) per hour

Take reciprocal

24x / (x + 24) = 16

24x = 16 (x +24)

24x = 16x + 384

24x - 16x = 384

8x = 384

x = 384/8

x = 48