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 P and project T.
Answer & explanation
Correct answer: option 2
Project P
Time taken by boy to complete the project P = 10 days
Time taken by girl to complete the project P = 15 days
Let the total work on Project P = LCM of 10 and 15 i.e. = 30
Total efficiency = 5 unit a day
Time taken by them to complete the work on P = \(\frac{30}{5}\) = 6 days
Project T
Time taken by boy to complete the project T = 8 days
Time taken by girl to complete the project T = 24 days
Let the total work on Project T = LCM of 8 and 24 i.e. = 24
Total efficiency = 4 unit a day
Time taken by them together to complete the work = \(\frac{24}{4}\) = 6 days
So, total amount of work required = 6 + 6 = 12 days