Study the given bar graph and answer the question given follows:

The below bar graph shows the time taken by a boy alone and a girl alone to complete the respective projects. (in days)

Find the total time taken by one boy and one girl together working on project Q and project S.

\(\frac{144}{7}\)

Project Q

Time taken by boy = 15 days

Time taken by girl = 20 days

Let the total work on Project Q = LCM of 15 and 20 i.e. = 60

Time taken by them to complete the work on Project Q = \(\frac{60}{7}\) days

Project S

Let the total work on Project S = LCM of 20 and 30 i.e. = 60

Time taken by them to complete the work on Project S = \(\frac{60}{5}\) = 12 days

Total time = \(\frac{60}{7}\) + 12 = \(\frac{60+84}{7}\) = \(\frac{144}{7}\) days