Answer:
Time taken by his friend to create the app alone = 48 hours.
Step-by-step explanation:
Hours needed by Jacob to create an app = 24 hours
[tex]\text{One hour work of Jacob = }\frac{1}{24}[/tex]
Let hours needed by his friend in creating the app alone = x hours
[tex]\text{So, one hour work of his friend = }\frac{1}{x}[/tex]
The both can create the app in 16 hours.
[tex]\implies \frac{1}{24}+\frac{1}{x}=\frac{1}{16}\\\\\implies\frac{1}{x}=\frac{1}{16}-\frac{1}{24}\\\\\implies\frac{1}{x}=\frac{24-16}{24\times 16}\\\\\implies \frac{1}{x}=\frac{1}{48}\\\\\bf\implies x = 48[/tex]
Hence, Time taken by his friend to create the app alone = 48 hours.
