Question

Pam, Sam and Tam working together can complete a job in 8 hours. Pam alone can finish the job in 20 hours, and Sam alone in 24 hours. How long will Tam, working alone take to finish the job on his own ?

Answer 1

Pam can finish the job in $20hours.$

Sam can finish in $24hours.$

Let Tam can finish in $xhours.$

Then,

$\frac{1}{20}+\frac{1}{24}+\frac{1}{x}=\frac{1}{8}$

$\frac{1}{x}=\frac{1}{8}-\frac{1}{20}-\frac{1}{24}$

$\frac{1}{x}=\frac{15-6-5}{120}=\frac{4}{120}=\frac{1}{30}$

$x=30$

Therefore, Tam alone can finish the job in $30hours.$