Jamie ran a total distance of 6 and 1 over 2 miles during the months of March and April. If Jamie only ran 1 over 6 mile every day, how many days did she go running?

Respuesta :

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.                                                  

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