Answer:
Step-by-step explanation:
[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]
[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]
[tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]
[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]
= 2.4 hours
[tex]= 2 \ hours \ 24 minutes[/tex]
[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]