Kiran and Pavanc an complete a job in 40 dasy and 50 daysm resepectively. They worked on alternative days to complete it . Find the minimum possible time in which they could completed in (in days )

Options

A. `44(1)/(5)`
B. `44(1)/(2)`
C. `44(3)/(4)`
D. `44(4)/(5)`

Answer

A

Explanation

One of Kiran and Pavan would work on the first day and the other would on the second day. Inrrespective of who works on the first day, parof the job completed in the first two days `=(1)/(40)+(1)/(50)=(9)/(200)`
Part of the job completed in the first 44 days `=(44)/(2)((9)/(200))=(198)/(200)=(99)/(100)`
Remaining part `=(1)/(100)`
This will be completed in the minimum possible time if the person with a higher efficiency between the two completed.
`:.` Total time taken will be minimum if Kiran completed
Minimum possible total time =44 days`+((1)/(100))/((1)/(40))="days"=44(2)/(5)"days"`