Answer:
They will take 6 minutes to do the job together.
Step-by-step explanation:
Consider the provided information.
It is given that the time taken by one person to do a job is 15 minutes.
The time taken by another person to do the same job is 10 minutes.
Let T represent the time taken when they both work together.
Therefore the required equation is:
[tex]\frac{1}{T}=\frac{1}{15}+\frac{1}{10}[/tex]
[tex]\Rightarrow\frac{1}{T}=\frac{2+3}{30}[/tex]
[tex]\Rightarrow\frac{1}{T}=\frac{5}{30}[/tex]
[tex]\Rightarrow\frac{1}{T}=\frac{1}{6}[/tex]
[tex]\Rightarrow T=6[/tex]
Hence, they will take 6 minutes to do the job together.
