Given:
Total distance covered by Jamie = [tex]6\dfrac{1}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
To find:
The number of days in which she go for running.
Solution:
Total distance covered by Jamie [tex]=6\dfrac{1}{2}[/tex] miles
[tex]=\dfrac{6\times 2+1}{2}[/tex] miles
[tex]=\dfrac{12+1}{2}[/tex] miles
[tex]=\dfrac{13}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
Now,
[tex]\text{Required number of days}=\dfrac{\text{Total distance covered}}{\text{Distance covered each day}}[/tex]
[tex]\text{Required number of days}=\dfrac{\dfrac{13}{2}}{\dfrac{1}{6}}[/tex]
[tex]\text{Required number of days}=\dfrac{13}{2}\times \dfrac{6}{1}[/tex]
[tex]\text{Required number of days}=39[/tex]
Therefore, the required number of days is 39.